IS 2500 ISO W@7m'm (Part 1) :2000 : 1999 2859-1 (E%?iT'Tjp%w) Indian Standard SAMPLING PROCEDURE FOR INSPECTION BY ATTRIBUTES PART ACCEPTANCE 1 SAMPLING LIMIT SCHEMES (AQL) FOR INDEXED LOT-BY-LOT BY INSPECTION QUALITY ( Third Revision) ICS 03.120.30 @ BIS 2000 BUREAU MANAK BHAVAN, OF INDIAN STANDARDS ZAFAR MARG 9 BAHADUR SHAH NEW DELHI 110002 October 2000 Statistical Methods for Quality and Reliability Sectional Committee, MSD 3 NATIONAL FOREWORD `Samdina This Indian Standard (Part 1) (Third Revision) which is identical with ISO 2859-1:1999 procedures for inspection by attributes -- Part 1: Sampling schemes indexed by acceptance quality Iimfi (AQL) for lot-by-lot inspection' issued by the International Organization for Standardization (ISO) was adopted by the Bureau of Indian Standards on the recommendation of Statistical Methods for Quality and Reliability Sectional Committee (MSD 3) and approval of the Management and Systems Division Council. The text of the ISO standard has been approved suitable for publication as Indian Standard without deviations. Certain conventions are, however, not identical to those used in Indian Standards. Attention is particularly drawn to the following: a) b) Wherever the words `International read as `Indian Standard'. Standard' appear referring to this standard, they should be Comma (,) has been used as a decimal marker while in Indian Standards the current practice is to use a point (.) as the decimal marker. This standard was first published in 1963 and revised in 1973. The second revision of this standard was published in 1992 to make it identical with the corresponding International Standard, namely, ISO 28591:1989. This International Standard has been revised in 1999. In the third revision of the standard, the revised version of ISO 2859-1 has been adopted. The significant changes in this revised version include : -- A new procedure for switching from normal to reduced inspection. -- A reference to skip-lot sampling as an alternative to reduced inspection. -- The term `limiting quality' has been changed to "consumer's risk quality" in the heading of Tables 6-A, 6-B, 6-C, 7-A, 7-B and 7-C. -- A new table has been added giving producer's risk as the probability of rejection of lots with percent non-conforming equal to the AQL. -- Optional fractional acceptance number plans have been added; the purpose of these plans is to provide a consistent progression from the plans for acceptance number zero to the acceptance number 1 plans. The fractional acceptance number plans are found in Tables 1l-A, 11-B and 1l-C, where they take the place of the arrows in the corresponding positions in Tables 2-A, 2-B and 2-C. -- Reduced plans have been changed to eliminate the gap between the acceptance and rejection numbers. -- Some changes have been made to the double sampling plans to provide a smaller average sample size. -- Multiple sampling plans have been changed to five stages rather than seven. The change has not increased the average sample size. Some of the new plans have a smaller average sample size than their counterparts in the previous edition. -- Scheme operating characteristic curves have been added as Table 12. In this adopted standard, normative reference has been made to the following standard for which there is no Indian Standard : ISO Standard ISO 2859-3:1991 Sampling procedures procedures Title for inspection by attributes -- Part 3 : Skip-lot sampling This International Standard also recommends that this standard be used together with ISO 2859-O, which contains illustrative examples. There is no Indian Standard corresponding to ISO 2859-O. The technical committee responsible for the preparation of this standard has reviewed the provisions of the above referred ISO standards, and has decided that they are acceptable for use in conjunction with this standard. (Continued on third cover] IS 2500( Patil ):2000 ISO 2859-1:1999 Contents 1 Scope ................................................................................................................................. ................................ ....... 1 2 Normative references ................................................................................................................................ .............. 2 3 Terms, definitions and symbols ............................................................................................................................. 2 4 Expression of nonconformity ................................................................................................................................ . 7 5 Acceptance quality limit (AQL) ............................................................................................................................... 8 6 Submission of product for sampling ..................................................................................................................... 8 7 Acceptance and non-acceptance ........................................................................................................................... 9 8 Drawing of samples .................................................................................................................................................9 9 Normal, tightened and reduced inspection ......................................................................................................... 10 10 Sampling plans ................................................................................................................................ .................... 13 11 Determination of acceptability ........................................................................................................................... 14 12 Further information ................................................................................................................................ ............. 14 13 Fractional acceptance number plans for single sampling (optional) .............................................................. 16 Tables 1 Sample size code letters ................................................................................................................................ ...... 19 2-A Single sampling plans for normal inspection (Master table) ........................................................................20 2-B Single sampling plans for tightened inspection (Master table) ................................................................... 21 2-c Single sampling plans for reduced inspection (Master table) ...................................................................... 22 3-A Double sampling plans for normal inspection (Master table) ...................................................................... 23 3-B Double sampling plans for tightened inspection (Master table) ..................................................................24 3-c Double sampling plans for reduced inspection (Master table) .................................................................... 25 4-A Multiple sampling plans for normal inspection (Master table) .....................................................................26 4-B Multiple sampling plans for tightened inspection (Master table) .................................................................29 (i) IS 2500( Part 1 ) :2000 ISO 2859-1:1999 4-C Multiple sampling plans for reduced inspection (Master table) ................................................................... 32 5-A Producer's risk for normal inspection ............................................................................................................ 35 5-B Producer's risk for tightened inspection ........................................................................................................ 36 5-C Producer's risk for reduced inspection .......................................................................................................... 37 6-A Consumer's risk quality for normal inspection ............................................................................................. 38 6-B Consumer's risk quality for tightened inspection ......................................................................................... 39 6-C Consumer's risk quality for reduced inspection ...........................................................................................4O 7-A Consumer's risk quality for normal inspection ............................................................................................. 41 7-B Consumer's risk quality for tightened inspection .........................................................................................42 7-C Consumer's risk quality for reduced inspection ........................................................................................... 43 8-A Average outgoing quality limits for normal inspection (Single sampling plans) ....................................... 44 8-B Average outgoing quality limits for tightened inspection (Single sampling plans) .................................. 45 9 Average sample size curves for single, double and multiple sampling (normal, tightened and reduced inspection) ............................................................................................................................................................46 1O-A Tables for sample size code letter A (Individual plans) ..............................................................................48 1O-B Tables for sample size code letter B (Individual plans) .............................................................................. 50 1O-C Tables for sample size code letter C (Individual plans) .............................................................................. 52 . 1O-D Tables for sample size code letter D (Individual plans) .............................................................................. 54 1O-E Tables for sample size code letter E (Individual plans) .............................................................................. 56 1O-F Tables for sample size code letter F (Individual plans) ............................................................................... 58 1O-G Tables for sample size code letter G (Individual plans) .............................................................................. 60 1O-H Tables for sample size code letter H (Individual plans) .............................................................................. 62 10-J Tables for sample size code letter J (Individual plans) ............................................................................... 64 1O-K Tables for sample size code letter K (Individual plans) .............................................................................. 66 1O-L Tables for sample size code letter L (Individual plans) ............................................................................... 68 1O-M Tables for sample size code letter M (Individual plans) ............................................................................. 70 1O-N Tables for sample size code letter N (Individual plans) .............................................................................. 72 1O-P Tables for sample size code letter P (Individual plans) .............................................................................. 74 1O-Q Tables for sample size code letter Q (Individual plans) .............................................................................. 76 10-R Tables for sample size code letter R (Individual plans) .............................................................................. 78 10-S Tables for sample size code letter S (Individual plans) ..........................................................................*... 80 (u) IS 2500( Part 1 ): 2000 ISO 2859-1:1999 11-A Single sampling plans for normal inspection (Auxiliary master table) ..................................................... 81 11-B Single sampling plans for tightened inspection (Auxiliary master table) .................................................82 11-C Single sampling plans for reduced inspection (Auxiliary master table) ...................................................83 12 Scheme OC curves (Normalized) ......................................................................................................................84 Annex A (informative) Example for non-constant sampling plan ........................................................................85 Bibliography ............................................................................................................................................ .............. .... 87 (iii) IS 2500( Part 1 ): 2000 ISO 2859-1:1999 Indian Standard SAMPLING PROCEDURE FOR INSPECTION BY ATTRIBUTES 1 SAMPLING LIMIT SCHEMES (AQL) FOR INDEXED LOT-BY-LOT BY INSPECTION QUALITY PART ACCEPTANCE ( Third Revision) 1 Scope 1.1 This part of ISO 2859 specifies an acceptance sampling system for inspection by attributes. It is indexed in terms of the acceptance quality limit (AQL). Its purpose is to induce a supplier through the economic and psychological pressure of lot non-acceptance to maintain a process average at least as good as the specified acceptance quality limit, while at the same time providing an upper limit for the risk to the consumer of accepting the occasional poor lot. Sampling schemes designated in this part of ISO 2859 are applicable, but not limited, to inspection of -- -- -- -- -- -- -- -- end items, components and raw materials, operations, materials in process, supplies in storage, maintenance operations, data or records, and administrative procedures. 1.2 These schemes are intended primarily to be used for a continuing series of lots, that is, a series Ions enouah to allow the switching rules (9.3) to be applied. These rules provide: a) a protection to the consumer (by means of a switch to tightened inspection or discontinuation inspection) should a deterioration in quality be detected; of sampling b) an incentive (at the discretion of the responsible authority) to reduce inspection costs (by means of a switch to reduced inspection) should consistently good quality be achieved. Sampling plans in this patt of ISO 2859 may also be used for the inspection of lots in isolation but, in this case the user is strongly advised to consult the operating characteristic curves to find a plan that will yield the desired protection (see 12.6). In that case, the user is also referred to the sampling plans indexed by limiting quality (LQ) given in ISO 2859-2. IS 2500( Part 1 ) :2000 ISO 2859-1:1999 2 Normative references reference in this text, constitute provisions of to, or revisions of, any of these publications ISO 2859 are encouraged to investigate the documents indicated below. For undated applies. Members of ISO and IEC maintain The following normative documents oontain provisions which, through this part of ISO 2859. For dated references, subsequent amendments do not apply. However, parties to agreements based on this part of possibility of applying the most recent editions of the normative references, the latest edition of the normative document referred to registers of currently valid International Standards. ISO 2859-3:1991, Sampling procedures for inspection by attributes -- Part 3: Skip-lot sampling procedures. ISO 3534-1:1993, Statistics -- Vocabulary and symbols -- Part 1: Probability and general statistical terms. ISO 3534-2:1993, Statistics -- Vocabulary and symbols -- Part 2: Statistical quality control. 3 Terms, 3.1 Terms definitions and symbols and definitions and ISO 3534-2 and the For the purposes of this part of ISO 2859, the terms and definitions given in ISO 3534-1 following apply. For ease of reference, the definitions of some of these terms are quoted from ISO 3534-1 and ISO 3534-2, while NOTE others are redefined or newly defined. 3.1.1 inspection activity such as measuring, examining, testing or gauging one or more characteristics of a product or service, and comparing the results with specified requirements in order to establish whether conformity is achieved for each characteristic 3.1.2 original inspection first inspection of a lot according to the provisions of this part of ISO 2859 NOTE This is to be distinguished from the inspection of a lot which has been resubmitted after previous non-acceptance. 3.1.3 inspection by attributes inspection whereby either the item is classified simply as conforming or nonconforming with respect to a specified requirement or set of specified requirements, or the number of nonconformities in the item is counted NOTE Inspection by attributes includes inspection for conformity of items as well as inspection for number of nonconformities per hundred items. 3.1.4 item that which can be individually described and considered EXAMPLES -- -- -- -- a physical item; a defined quantity of material; a service, an activity or a process; an organization or a person; or some combination thereof. -- 2 IS 2500( Part 1 ) :2000 ISO 2859-1:1999 3.1.5 nonconformity non-f ulfilment of a specified requirement NOTE 1 In some situations specified requirements coincide with customer usage requirements (see"defect, 3.1.6). In other situations they may not coincide, being either more or less stringent, or the exact relationship between the two is not fully known or understood. NOTE 2 Nonconformity will generally be classified according to its degree of seriousness such as: Class A: those nonconformities of a type considered to be of the highest concern; in acceptance sampling such types of nonconformitieswill be assigned a very small acceptance quality limitvalue; Class B: those nonconformities of a type considered to have the next lower degree of concern; therefore, these can be assigned a larger acceptance quality limit value than those in class A and smaller than in class C, if a third class exists, etc. NOTE 3 Adding characteristics and classes of nonconformities will generally affect the overall probability of acceptance of the product. NOTE 4 The number of classes, the assignment into a class, and the choice of acceptance quality limit for each class, should be appropriate to the quality requirements of the specific situation. 3.1.6 defect non-f ulfilment of an intended usage requirement NOTE 1 The term "defect" is appropriate for use when a quality characteristic of a product or service is evaluated in terms of usage (as contrasted to conformance to specifications). NOTE 2 Since the term "defect" now has definite meaning within the law, it should not be used as a general term. 3.1.7 nonconforming item item with one or more nonconformities NOTE Nonconforming items will generally be classified by their degree of seriousness such as: Class A an item which contains one or more nonconformities of class A and may also contain nonconformitiesof class B andlor class C, etc.; Class B: an item which contains one or more nonconformitiesof class B and may also contain nonconformitiesof class C, etc. but contains no nonconformity of class A. 3.1.8 percent nonconforming (in a sample) one hundred times the number of nonconforming items in the sample divided by the sample size, viz: where d n is the number of nonconforming items in the sample; is the sample size 3.1.9 percent nonconforming (in a population or lot) one hundred times the number of nonconforming population or lot size, viz: items in the population or lot divided by the 3 IS 2500( Part 1 ) :2000 ISO 2859-1:1999 100 P=l OO; where P D N is the proportion of nonconforming items; is the number of nonconforming items in the population or lot; is the population or lot size NOTE 1 In this part of ISO 2859 the terms percent nonconforming (3.1.8 and 3:1 .9) or nonconformities per 100 items (3.1.1 O and 3.1.11) are mainly used in place of the theoretical terms "proportionof nonconforming items" and "nonconformities per item" because the former terms are the most widely used. NOTE 2 This definition differs from that found in ISO 3534-2. 3.1.10 nonconformities per 100 items (in a sample) one hundred times the number of nonconformities in the sample divided by the sample size, viz: where d n is the number of nonconformities in the sample; is the sample size 3.1.11 nonconformities per 100 items in the population or lot divided by the (in a Population or lot) one hundred times the number of nonconformities population or lot size, viz: 100P =lOO; where P D N NOTE is the number of nonconformities per item; is the number of nonconformities in the population or lot is the population or lot size An item may contain one or more nonconformities. 3.1.12 responsible authority concept used to maintain the neutrality of this parl of ISO 2859 (primarily for specification purposes), irrespective of whether it is being invoked or applied by the first, second or third patiy NOTE 1 a) b) c) The responsible authority maybe: the quality depafiment within a supplier's organization (first party); the purchaser or procurement organization (second party); an independent verification or cetiification authority (third party); 4 IS 2500( Part 1 ): 2000 ISO 2859-1:1999 d) any of a), b) or c), differing according to function (see Note 2) as described in a written agreement between two of the parties, for example a document between supplier and purchaser. NOTE 2 The duties and functions of a responsible authority are outlined in this parl of ISO 2859 (see 5.2, 6.2, 7.2, 7.3, 7.5, 7.6, 9.1, 9.3.3, 9.4, 10.1, 10.3, 13.1). 3.1.13 lot definite amount of some product, material or service, collected together NOTE An inspection lot may consist of several batches or parts of batches. 3.1.14 lot size number of items in a lot 3.1.15 sample set of one or more items taken from a lot and intended to provide information on the lot 3.1.16 sample size number of items in the sample 3.1.17 sampling plan combination of sample size(s) to be used and associated lot acceptability criteria NOTE 1 A single sampling plan is a combination of sample size and acceptance and rejection numbers. A double sampling plan is a combination of two sample sizes and acceptance and rejection numbers for the first sample and for the combined sample. NOTE 2 A sampling plan does not contain the rules on how to draw the sample. NOTE 3 For the purposes of this part of ISO 2859, a distinction should be made between the terms sampling plan (3.1.17), sampling scheme (3. 1.18) and sampling system (3.1.19). 3.1.18 sampling scheme combination of sampling plans with rules for changing from one plan to another NOTE 3.1.19 sampling See 9.3. system plans, or of sampling schemes, each with its own rules for changing plans, together with including criteria by which appropriate plans or schemes maybe chosen collection of sampling sampling procedures This part of ISO 2859 is a sampling system indexed by lot-size ranges, inspection levels and AQLs. A sampling NOTE system for LQ plans is given in ISO 2859-2. 3.1.20 normal inspection use of a eampiing pian (3.1.17) with an acceptance criterion that has been devised to secure the producer a high probability of acceptance when the process average (3.1.25) of the lot is better than the acceptance quaiity limit (3.1.26) NOTE Normal inspection is usad when there is no reason to suspect that the process average (3.1.25) differs from an acceptable level. 5 IS 2500( Part 1 ) :2000 ISO 2859-1:1999 3.1.21 tightened inspection use of a sampling plan (3.1.17) with an acceptance normal inspection (3.1 .20) NOTE that the criterion that is tighter than that for the corresponding plan for process Tightened inspection is invoked when the inspection results of a predetermined number of consecutive lots indicate average (3. 1.25) might be poorer than the AQL (3. 1.26). 3.1.22 reduced inspection use of a sampling plan (3.1.17) with a sample size (3.1.16) that is smaller than that for the corresponding plan for normal inspection (3.1 .20) and with an acceptance criterion that is comparable to that for the corresponding plan for normal inspection NOTE 1 The discriminatory ability under reduced inspection is less than under normal inspection. NOTE 2 Reduced inspection may be invoked when the inspection results of a predetermined number of consecutive lots indicate that the process average (3. 1.25) is better than the AQL (3.1.26). 3.1.23 switching score indicator that is used under normal inspection to determine whether the current inspection results are sufficient to allow for a switch to reduced inspection NOTE See 9.3.3. 3.1.24 acceptance score indicator that is used for fractional acceptance number plans to determine lot acceptability NOTE See 13.2.1.2. 3.1.25 process average process level averaged over a defined time period or quantity of production [ISO 3534-2 :1993,3.1 .2] In this part of ISO 2859 the process average is the quality level (percent nonconforming or number of NOTE nonconformities per hundred items) during a period when the process is in a state of statistical control. 3.1.26 acceptance quafity limit AQL quality level that is the worst tolerable process average when a continuing series of lots is submitted for acceptance sampling NOTE 1 This concept only applies when a sampling scheme with rules for switching, and for discontinuation, such as in ISO 2859-1 or ISO 3951, is used. NOTE 2 Although individual lots with quality as bad as the acceptance quality limit may be accepted with fairly high probability, the designation of an acceptance quality limit does not suggest that this is a desirable quality level. Sampling schemes found in International Standards such as this pari of ISO 2859, with their rules for switching and for discontinuation of sampling inspection, are designed to encourage suppliers to have process averages consistently better than the AQL. Otherwise, there is a high risk that the inspection severity will be switched to tightened inspection under which the criteria for lot acceptance become more demanding. Once on tightened inspection, unless action is taken to improve the process, it is very likely that the rule requiring discontinuation of sampling inspection pending such improvement will be invoked. 3.1.27 consumer's risk quality CRQ lot or process quality level that in the sampling plan corresponds to a specified consumer's risk 6 IS 2500( Partl ):2000 ISO 2859-1:1999 NOTE Consumer's risk is usually 10 ?4.. 3.1.28 limiting quality LQ when a lot is considered in isolation, a quality level which for the purposes of sampling inspection is limited to a low probability of acceptance 3.2 Symbols and abbreviations The symbols and abbreviations used in this part of ISO 2859-1 areas follows: Ac AQL AOQ AOQL acceptance number acceptance quality limit (in percent nonconforming items or in nonconformities per hundred items) average outgoing quality (in percent nonconforming items or in nonconformities per hundred items) average outgoing quality limit (in percent nonconforming items) items or in nonconformities per hundred CRQ d D LQ N n consumer's risk quality (in percent nonconforming items or in nonconformities per'hundred items) number of nonconforming items (or nonconformities) found in a sample from a lot number of nonconforming items in a lot limiting quality (in percent nonconforming items or in nonconformities per hundred items) lot size sample size process average quality level for which the probability of acceptance is x, where x is a fraction probability of acceptance (in percent) rejection number P P, Pa Re NOTE The symbol n may be accompanied by a subscript. Numerical subscripts 1 to 5 denote the first to the fifth sample, respectively. In general, ni is the size of the ith sample in double or multiple sampling. 4 Expression 4.1 General of nonconformity The extent of nonconformity shall be expressed either in terms of percent nonconforming (see 3.1.8 and 3.1.9) or in terms of nonconformities per 100 items (see 3.1.10 and 3.1.11). Tables 7,8 and 10 are based on the assumption that nonconformities occur randomly and with statistical independence. If it is known that one nonconformity in an item could be caused by a condition also likely to cause others, the items shall be considered just as conforming or not and multiple nonconformities ignored. 4.2 Classification of nonconformities Since most acceptance' sampling involves evaluation of more than one qualii characteristic, and since they may differ in importance in terms of qualii antior economic effects, it is often desirable to classify the types of nonconfomhities according to agreed classes as defined in 3.1.5. The number of classes, the assignment of nonconformities into 7 IS 2500( Part 1 ): 2000 ISO 2859-1:1999 classes, and the choice of AQL for each class should be appropriate to the quality requirements situation. of the specific 5 Acceptance quality limit (AQL) 5.1 Use and application The AQL, together with the sample size code letter (see 10.2), is used for indexing the sampling plans and schemes provided in this part of ISO 2859. When a specific value of the AQL is designated for a certain nonconformity or group of nonconformities, it indicates that the sampling scheme will accept the great majority of the lots submitted, provided the quality level (percent nonconforming or nonconformities per 100 items) in these lots is no greater than the designated value of AQL. The sampling plans provided are so arranged that the probability of acceptance at the designated AQL value depends upon the sample size for a given AQL, being generally higher for large samples than for small ones. The AQL is a parameter of the sampling scheme and should not be confused with the process average that describes the operating level of the manufacturing process. It is expected that the process average will be better than the AQL to avoid excessive rejections under this system. CAUTION: The designation of an AQL shall not imply that the supplier has the right knowingly to supply any nonconforming item. 5.2 Specifying AQLs The AQL to be used shall be designated in the contractor by (or in accordance with the prescription laid down by) the responsible authorii. Different AQLs may be designated for groups of nonconformities considered collectively or for individual nonconformities as defined in 3.1.5. The classification into groups should be appropriate to the quality requirements of the specific situation. An AQL for a group of nonconformities may be designated in addition to AQLs for individual nonconforrnities, or subgroups, within that group. When the quality level is expressed as percent of nonconforming items (3.1.8 and 3.1.9), AQL values shall not exceed 10% nonconforming. When the quality level is expressed as number of nonconformities per 100 items (3.1.10 and 3.1.11), AQL values up to 1000 nonconformities per 100 items may be used. 5.3 Preferred AQLs The series of values of AQLs given in the tables are known as the preferred series of AQLs. if, for any product, an AQL is designated other than one of these values, these tables are not applicable. 6 Submission 6.1 Formation of product of lots for sampling The product shall be assembled into identifiable lots, sub-lots, or in such other manner as may be laid down (see 6.2). Each lot shall, as far as is practicable, consist of items of a single type, grade, class, size and combsition, manufactured under uniform condfiions at essentially the same time. 6.2 Presentation of lots The formation of the lots, the lot size and the manner in whch each lot shall be presented and identified by the supplier shall be designated or approved by, or accordhg to, the responsible authority. ~ necessary, the supplier shall provide adequate and suitable storage space for each lot, equipment needed for proper identifmtion and presentation, and personnel for all handling of product required for drawing of samples. 8 IS 2500( Patil ):2000 ISO 2859-1:1999 7 Acceptance 7.1 Acceptability and non-acceptance of lots Acceptability of a lot shall be determined by the use of a sampling plan or plans. The term "non-acceptance" is used in this context for "rejection" when it refers to the result of following the procedure. Forms of the term "reject" are retained when they refer to actions the consumer may take, as in "rejection number." 7.2 Disposition of non-acceptable lots The responsible authority shall decide how lots that are not accepted will be disposed of. Such lots maybe scrapped, sorted (with or without nonconforming items being replaced), reworked, re-evaluated against more specific usability criteria, or held for additional information, etc. 7.3 Nonconforming items If a lot has been accepted, the right is reserved to not accept any item found nonconforming during inspection, whether that item formed part of a sample or not. Items found nonconforming may be reworked or replaced by conforming items, and resubmitted for inspection with the approval of, and in the manner specified by, the responsible authority. 7.4 Classes of nonconformities or nonconforming items Specific assignment of nonconformities or nonconforming items to two or more classes requires using a set of sampling plans. In general, the set of sampling plans have a common sample size, but different acceptance numbers for each class having a different AQL, such as in Tables 2,3 and 4. 7.5 Special reservation for critical classes of nonconformities Some types of nonconformities may have critical importance. This subclause specifies the special provisions for such types of designated non-conformities. At the discretion of the responsible authority, every item in the lot may be required to be inspected for such designated classes of nonconformities. The right is reserved to inspect every item submitted for such designated nonconformities and to not accept the lot immediately if a nonconformity of this class is found. The right is also reserved to sample, for specified classes of nonconformities, every lot submitted by the supplier and to not accept any lot if a sample drawn from it is found to contain one or more of these nonconformities. 7.6 Resubmitted lots All parties shall be immediately notified if a lot is found not acceptable. Such lots shall not be resubmitted until all items are re-examined or retested and the supplier is satisfied that all nonconforming items have been removed or replaced by conforming items, or all nonconformities have been corrected. The responsible authority shall determine whether normal or tightened inspection shall be used on re-inspection and whether re-inspection shall include all types or classes of nonconformities or only the particular types or classes of nonconforrnities which caused initial nonacceptance. 8 Drawing of samples 8.1 Sample selection The items selected for the sample shall be drawn from the lot by simple random sampling (see 2.1,5 in ISO 3534-2:1993). However, when the lot consists of sub-lots or strata, identified by some rational criterion, stratified sampling shall be used in such a way that the size of the subsample from each sublot or stratum is proportional to the size of that sublet or stratum (for further details seci 2.25 inISO2859-(Y1995). 8.2 Time for drawing the samples Samples may be drawn after the lot has been produced, or during production of the lot. In either case, the samples shall be selected according to 8.1. 9 IS 2500( Part 1 ) :2000 IS() 2859-1:1999 8.3 Double or multiple sampling When double or multiple sampling is to be used, each subsequent sample shall be selected from the remainder of the same lot. 9 9.1 Normal, tightened and reduced inspection Start of inspection Normal inspection shall be carried out at the start of inspection, unless otherwise directed by the responsible authority. 9.2 Continuation of inspection Normal, tightened or reduced inspection shall continue unchanged on successive lots, except where the switching procedures (see 9.3) require the severity of the inspectionto be changed. The switching procedures shall be applied to each class of nonconformities or nonconforming items independently. 9.3 9.3.1 Switching rules and procedures (see Figure 1) Normal to tightened When normal inspection is being carried out, tightened inspection shall be implemented as soon as two out of five (or fewer than five) consecutive lots have been non-acceptable on original inspection (that is, ignoring resubmitted lots or batches for this procedure). 9.3.2 Tightened to normal When tightened inspection!s being carried out, normal inspection shall be re-instated when five consecutive lots have been considered acceptable on original inspection. 9.3.3 9.3.3.1 Normal to reduced General When normal inspection is being carried out, reduced inspection shall be implemented provided that all of the following conditions are satisfied: a) b) c) the current value of the switching score (see 9.3.3.2) is at least 30; and production is at a steady rate; and reduced inspection is considered desirable by the responsible authority. 10 ( Stari ) - Currentvalueof switching aooreis at least W - productionsteady,and o `-krlda.pd `7P)­ /Discontinue inspection i - productionirregularor Supplierimproves quality / - otherconditionswarrentswitch Figure1- Outfine of the ewitching rules (see 9.3) @d lofD.. IS 2500( Part 1 ): 2000 ISO 2859=1 :1999 9.3.3.2 Switching score The calculation of the switching score shall be initiated at the start of normal inspection unless otherwise specified by the responsible authority. The switching score shall be set at zero at the stari and updated following the inspection of each subsequent lot on original normal inspection. a) Single sampling plans: 1) when the acceptance number is 2 or more, add 3 to the switching score if the lot would have been accepted if the AQL had been one step tighter otherwise reset the switching score to zero; when the acceptance number is O or 1, add 2 to the switching score if the lot is accepted; otherwise reset the switching score to zero. 2) b) Double and multiple sampling plans: 1) when a double sampling plan is used, add 3 to the switching score if the lot is accepted after the first sample; otherwise reset the switching score to zero; when a multiple sampling plan is used, add 3 to the switching score if the lot is accepted by the third sample; otherwise reset the switching score to zero. The application of the switching score is illustrated in annex A. 2) NOTE 9.3.4 Reduced to normal When reduced inspection is being carried out, normal inspection shall be re-instated if any of the following occur on original inspection: a) b) c) 9.4 a lot is not accepted; or production becomes irregular or delayed; or other conditions warrant that normal inspection shall be re-instated. Discontinuation of inspection If the cumulative number of lots not accepted in a sequence of consecutive lots on original tightened inspection reaches 5, the acceptance procedures of this part of ISO 2859 shall not be resumed until action has been taken by the supplier to improve the quality of the submitted product or service, and the responsible authority has agreed that this action is likely to be effective. Tightened inspection shall then be used as if 9.3.1 had been invoked. 9.5 Skip-1ot sampling The lot-by-lot inspection in this part of ISO 2859 may be replaced by skip-lot sampling when the requirements of ISO 2859-3 are fulfilled. There are limitations to tne use of the skip-lot procedures of ISO 2859-3 in place of the reduced-inspection NOTE procedures of this pari of ISO 2859. Some of the AQLs and inspection levels are not applicable. 12 IS 2500( Partl ):2000 ISO 2859-1:1999 10 Sampling plans 10.1 Inspection level The inspection level designates the relative amount of inspection. Three inspection levels, 1, II and Ill, are given in Table 1 for general use. Unless otherwise specified, level II shall be used. Level 1 may be used when less discrimination is needed or level Ill when greater discrimination is required. Four additional special levels, S-1, S-2, S-3 and S-4 are also given in Table 1 and may be used where relatively small sample sizes are necessary and larger sampling risks can be tolerated. The inspection level requires for any particular application shall be specified by the responsible authority. This allows the authority to require greater discrimination for some purposes and less for others. At each inspection level, the switching rules shall operate to require normal, tightened and reduced inspection, as specified in clause 9. The choice of inspection level is quite separate from these three severities of inspection. Thus, the inspection level that has been specified shall be kept unchanged when switching between normal, tightened and reduced inspection. In the designation of inspection levels S-1 to S-4, care shall be exercised to avoid AQLs inconsistent with these inspection levels. For instance, the code letters under S-1 go no further than D, equivalent to a single sample size of 8, but it is of no use to specify S-1 if the AQL is 0,1 %, for which the minimum sample size is 125. The amount of information about the quality of a lot gained from examining samples drawn from the lot depends upon the absolute size of the samples, not upon the relative size of the sample to the lot size, provided the sample is small relative to the lot that is examined. In spite of this, there are three reasons for varying the sample size with the lot size: a) b) c) when the loss due to a wrong decision is high, it is more important to make the correct decision; with a large lot, a sample size can be afforded that would be uneconomic for a small lot; truly random sampling is relatively more difficult if the sample is too small a proportion of the lot. 10.2 Sample size code letters Sample sizes are designated by sample size code letters. Table 1 shall be used to find the applicable code letter for the particular lot size and the prescribed inspection level. NOTE For economy of space in the tables or to avoid unnecessa~ repetition in the text, the abbreviated term "code letter" is sometimes used. 10.3 Obtaining a sampling plan The AQL and the sample size code letter shall be used to obtain the sampling plan from Tables 2, 3, 4 or 11. For a specified AQL and a given lot size, the same combination of AQL and sample size code letter shall be used to obtain the sampling plan from the table for normal, tightened and reduced inspection. When no sampling plan is available for a given combination of AQL and sample size code letter, the tables direct the user to a different letter. The sample size to be used is given by the new sample size code letter, not by the original letter. If this procedure leads to different sample sizes for different classes of nonconformities or nonconforming items, the sample size code letter corresponding to the largest sample size derived may be used for all classes of norrconformities or nonconforming items, when designated or approved by the responsible authority. As an alternative to a single sampling plan with an acceptance number of O, the pfan with an acoeptanoe number of 1 with its correspondingly larger sample size for a designated AQL (where available) may be used, when designated or approved by the responsible authority. As another alternative, the optional fractional acceptance number plans described in clause 13 may be used when approved by the responsible authority. 13 IS 2500( Part 1 ) :2000 ISO 2859-1:1999 10.4 Types of sampling plans Three types of sampling plans, single, double and multiple, are given in Tables 2, 3 and 4, respectively. When several types of plans are available for a given AQL and sample size code letter, any one may be used. A decision as to the type of plan, either single, double or multiple, when available for a given AQL and sample size code letter, shall usually be based upon the comparison between the administrative difficulty and the average sample sizes of the available plans. For the sampling plans given in this part of ISO 2859, the average sample size of multiple plans is less than for double, and both of these are less than the single sample size (see Table 9). Usually, the administrative difficulty for single sampling and the cost per item in the sample are less than for double or multiple sampling. 11 Determination 11.1 Inspection of acceptability items for nonconforming To determine acceptability of a lot under percent nonconforming inspection, the applicable sampling plan shall be used in accordance with 11.1.1 to 11.1.3. 11.1.1 Single sampling plans (integer acceptance number) The number of sample items inspected shall be equal to the sample size given by the plan. If the number of nonconforming items found in the sample is equal to or less than the acceptance number, the lot shall be considered acceptable. If the number of nonconforming items is equal to or greater than the rejection number, the lot shall be considered not acceptable. 11.1.2 Double sampling plans The number of sample items first inspected shall be equal to the first sample size given by the plan. If the number of nonconforming items found in the first sample is -equal to or less than the first acceptance number, the lot shall be considered acceptable. If the number of nonconforming items found in the first sample is equal to or greater than the first rejection number, the lot shall be considered not acceptable. If the number of nonconforming items found in the first sample is between the first acceptance and rejection numbers, a second sample of the size given by the plan shall be inspected. The number of nonconforming items found in the first and second samples shall be accumulated. If the cumulative number of nonconforming items is equal to or less than the second acceptance number, the lot shall be considered acceptable. If the cumulative number of nonconforming items is equal to or greater than the second rejection number, the lot shall be considered not acceptable. 11.1.3 Multiple sampling plans In multiple sampling, the procedure shall be similar to that specified in 11.1.2. In this pari of ISO 2859, there are five stages so that a decision will be reached by the fifth stage at the latest. 11.2 Inspection for nonconformities In order to determine the acceptability of a lot in a nonconformities per hundred items inspection, the procedure specified for nonconforming inspection (see 11.1) shall be used, except that the term "nonconformities" shall be substituted for "nonconforming items". 12 Further 12.1 information characteristic (OC) curves Operating The operating characteristic curves for normal and tightened inspection, shown in Table 10, indicate the percentage of lots which may be expected to be accepted under the various sampling plans for a given process quality. The curves shown are for single sampling, integer acceptance number plans; curves for double and multiple sampling are matched as closely as practicable. The OC curves shown for AQLs greater than 10 are applicable for inspection for number of 14 IS. 2500 ( Pati 1 ) :2000 ISO 2859-1:1999 nonconformities; those for AQLs of 10 or less are applicable for inspection for nonconforming items. For AQLs of 10 or less these OC curves are also applicable to inspection for number of nonconformities. For each of the curves shown, values of the quality of submitted product corresponding to selected values of probabilities of acceptance are shown in tabular form. in addition, values corresponding to tightened inspection, and values corresponding to sampling for number of nonconformities for AQLs of 10 or fewer nonconformities per 100 items are also given. Normalized scheme OC curves found in Table 12 indicate the long-range percentage of lots of various qualities that will be accepted, taking into account the switching rules but disregarding the effect of the rule for discontinuation of inspection (9.4). The abscissa is the ratio of the process quality to the AQL. Each curve represents an acceptance number for normal inspection. 12.2 Process average The process average can be estimated by the average percent nonconforming or average number of nonconformities per 100 items (whichever is applicable) found in the samples of product submitted by the supplier for original inspection, provided that inspection was not curtailed. When double or multiple sampling is used, only first sample results shall be included in the process average estimation. 12.3 Average outgoing quality (AOQ) The average outgoing quality is the long-term average quality of outgoing product for a given value of incoming product quality, including all accepted lots, plus all lots which are not accepted, after such lots have been effectively 100 O/. inspected and all nonconforming items replaced by conforming items. 12.4 Average outgoing quality limit (AOQL) The AOQL is the maximum of the average outgoing qualities for all possible qualities submitted for a given acceptance sampling plan. Approximate AOQL values are given in Table 8-A for each of the single sampling plans for normal inspection and in Table 8-B for each of the single sampling plans for tightened inspection. 12.5 Average sample size curves Average sample size curves for double and multiple sampling, as compared with the corresponding single sampling plan for each acceptance number, are given in Table 9. These curves show the average sample sizes which may be expected to occur under the various sampling plans for given levels of process quality. The curves assume that the inspection is not curtailed (see ISO 3534-2:1993, 2.5.7). 12.6 Consumer's and producer's risks 12.6.1 Use of individual plans This part of ISO 2859 is intended to be used as a system employing tightened, normal and reduced inspection on a successive series of lots to achieve consumer protection while assuring the producer that acceptance will occur most of the time if quality is better than the AQL. Occasionally, specific individual plans are selected from this part of ISO 2859 and used without the switching rules. For example, a purchaser may be using the plans for verification purposes only. This is not the intended application of the system given in this part of ISO 2859 and its use in this way shall not be referred to as "inspection in compliance with ISO 2859-1". When used in this way, this part of ISO 2859 simply represents a repository for a collection of individual plans indexed by AQL. The operating characteristic curves and other measures of a plan so chosen shall be assessed individually for a plan from the tables provided. 12.6.2 Consumer's risk quality tables If the series of lots is not long enough to allow the switching rules to be applied, it maybe desirable to limit the selection of sampling plans to those, associated with a designated AQL value, that give consumer's risk quality not more than a specified limiting quality protection. Sampling plans for this purpose can be selected by choosing a consumer's risk quafii (CRQ) and a consumer's risk (probabilityof lot acceptance) to be associated with it. 15 lS2500(Partl ):2000 ISO 2859-1:1999 Tables 6 and 7 give values of consumer's risk quality (CRQ) for a consumer's risk of 10%. Table 6 applies when inspecting for nonconforming items and Table 7 applies ,when inspecting for number of nonconformities. For individual lots with quality levels less than or equal to the tabulated values of consumer's risk qualities, the probabilities of lot acceptance are equal to or less than 109'.. When there is reason for protecting against a specified limiting quality in a lot, Tables 6 and 7 may be useful for fixing minimum sample sizes to be associated with the AQL and inspection level specified for inspection of the series of lots. ISO 2859-2 gives details of the procedure for selecting sampling plans for lots in isolation. EXAMPLE Assume a consumer's risk quality of 5 % nonconforming items with an ass~iated probabilii of acceptance of 10 % or less is desired for individual lots. If an AQL of 1 ?4. nonconforming items is designated for inspection of the series of lots, Table 6-A indicates that the minimum sample size shall be given by sample size code letter L. 12.6.3 Producer's risk tables Tables 5-A, 5-B and 5-C give the probability of rejection for lots of AQL quality on normal, tightened and reduced inspections, respectively. This probability is denoted as producer's risk in 2.6.7 of ISO 3534-2:1993. 13 Fractional 13.1 Application acceptance of fractional number plans for single sampling number plans (optional) acceptance This subclause specifies optional procedures for fractional acceptance number sampling plans. The optional procedures may be used with the approval of the responsible authority. Unless otherwise specified, standard procedures shown above shall be followed. Fractional acceptance number plans are found in Tables 11-A, 11-B and 11-C. For normal and tightened inspection, the fractions 1/3 and 1/2 are found in place of the two entries with arrows in Table 2-A and 2-B between the plans for acceptance number O and acceptance number 1. For reduced inspection, the fractions 1/5, 1/3 and 1/2 are found in place of the three entries with arrows in T4ble 2-C between the plans for acceptance number O and acceptance number 1. The use of fractional acceptance number plans does not require a change in sample size code letters, with the corresponding change in sample size, when the combination of sample size code letter and AQL results in a plan between the O and 1 acceptance number as described in 10.3. 13.2 Acceptability determination items 13.2.1 13.2.1.1 Inspection for nonconforming Constant sampling plans When th~ fractional acceptance number sampling plans remain constant for all lots, the following rules apply. a) b) c) When there is no nonconforming item in the sample the lot shall be considered acceptable. When there are two or more nonconforming items in the sample, the lot shall be considered not acceptable. When. there is only one nonconforming item in the sample from the current lot, the tot shall be considered acceptable only if no nonconforming items have been found in the samples from a sufficient number of immediately preceding lots. For an acceptance number of 1/2 one such lot is required. For an acceptance number of 1/3 two such lots are required. For an acceptance number of 1/5 four such lots are required. Otherwise the current lot shall be considered not acceptable. If the first lot inspected has one nonconforming item, that lot is not accepted. 16 IS 2500( Partl):200cf ISO 2859-1:1999 13.2.1.2 Non-constant sampling plans lot, because of varying lot sizes and/or When the sampling plan does not remain constant for each successive switching, use an acceptance score that is calculated and used as follows. a) b) Ffeset the acceptance score to zero at the start of any phase of normal, tightened or reduced inspection. If the sampling unchanged. plan obtained indicates an acceptance number O, the acceptance score shall be kept If the given acceptance, number is 1/5, add 2 to the acceptance score. If the given acceptance number is 1/3, add 3 to the acceptance score. If the given acceptance number is 1/2, add 5 to the acceptance score. If the given acceptance number is 1 or more, add 7 to the acceptance score. c) When, for fractional accerXance number plans, the updated acceptance score prior to inspection is 8 or less, the lot can be considered acceptable only if" there "are no nonconforming items in the" sample. When, for fractional acceptance number plans, the updated acceptance score prior to inspection is 9 or more, the lot can be considered acceptable only if there is at most one nonconforming item in the sample. When the acceptance number is an integer, use this acceptance number to determine acceptability (in accordance with 11.1.1 or 11.2). If one or more nonconforming items are found in the sample, reset the acceptance score to O (i.e. after making a decision regarding the acceptability of the lot). d) The acceptance score shall be updated (added to) after obtaining the sampling plan but before deciding on the acceptability of the lot. The acceptance score shall be reset after the acceptability decision is made. in contrast, the switching score (see 9.3.3.2) shall be added to or reset after deciding on acceptability of the lot. NOTE 13.2.2 When an acceptance score is used for the case of constant sampling plans, the results are the same as 13.2.1.1. Inspection for number of nonconformities In order to determine the acceptability of a lot when inspecting for number of nonconformities, the procedures specified for inspection for nonconforming items (see 13.2.1 ) shall be used, except that the term "nonconformities" shall be substituted for "nonconforming items". 13.3 Switching 13.3.1 rules Normal to tightened and tightened to normal . These rules are the same as indicated in 9.3.1 and 9.3.2, respectively. 13.3.2 Normal to reduced The rule for updating the switching score (9.3.3.2) under single sampling when using a fractional acceptance number is as follows. a) When the given acceptance number is 1/3 or 1/2, add 2 to the switching score if the lot is accepted; otherwise reset the switching score to zero. When the acceptance number is zero, add 2 to the switching score if no nonconforming sample; otherwise reset the switching score to zero. items are found in the b) 17 IS 2500( Part 1 ) :2000 ISO 2859-1:1999 13.3.3 Reduced to normal inspection and discontinuation of inspection The rules are the same as indicated in 9.3.4 and 9.4, respectively. NOTE 13.4 Fractional acceptance number sampling plans are not applicable under the ISO 2859-3 skip-lot sampling system. Non-constant sampling plan An example given in annex A illustrates the application of this acceptance sampling system using the optional fractional acceptance number plans with variable lot size. It is assumed throughout this example that a series of lots are submitted for inspection for nonconforming items, and that it has been agreed to use an AQL of 1 % nonconforming items with general inspection level Il. The results for the first 25 lots are given in annex A. 18 Table 1- Sample size code letters (see 10.1 and 10.2) Lot size s-1 Special inspection levels s-2 A General inspection levels s-3 A A B B c c D D E E F F G G H s-4 A A B I A A B II A B Ill 2 to 9 to 16to 26 to 51 to 91 to 151 to 281 to 501 to 1201 to 3201 to 10001 to 35001 150001 500001 to to 8 15 25 50 90 150 280 500 1200 3200 -10000 35000 150000 500000 A A A B A A B B B c D E F G H J K L M N P Q R c D E F G H J K L M N P Q A B B B B c c D E E F G G H J J K c c D E F G H J K L M N c c c D D D E E E c c c c D D D and over N o Table 2-A -- Single sampling plans for normal inspection (Master table) L-J `"...,.., I same size Acoeptanoe qualitylimit,AQL, In percentnonconforming itemsand nonconformities per 0,010 100 items (normal inspection) aim code letter A AcFte 2 3 5 B c D E F G H 8 13 20 32 50 J K L M 60 126 ~-il-+-ll-l-200 315 .--1 n ~ 1 ~ 1111:/1(),()15 0,02!5 0,040 m= 0,10 0,15 0,25 0,40 0,66 AC Re AC Re AC Re 1,0 1,5 2,5 4,0 G,!j 10 15 AC Re 25 AC Re 40 AC Re 65 AC Be 100 AC Re Iw AC F@ 250 AC Re 400 AC Re 650 Iorl AC Re Ac R Ac Re Ac Re Ac Re Ac Re Ac Re AC% AC Re AC Re AC Re AC Rfj AC Re AC Re [ ~ ; : ~ :12 23 :; 34 :: 56 34 76 76 5' 31 44 10 15 21 22 30 2122 : 4 7611 14 10'1 14'5 I - .: , -. - -.. -- - -. --- - 10 11 14 15 21 22 30 31 44 45 1415 2122 2122 3031 3031 4445 A 4445 0 6 01 0 v 12 23 34 56 78 1011 1415 2122 - 56 7s 1011 1415 2122 76 1011 1415 2122 1011 1415 2122 01 0 0 + 12 23 34 01 6 v 12 23 34 56 -- -. -.. -- - . . -- 01 0 v 12 23 34 56 78 - `- - 01 + 12 23 34 56 7s 1011 01 0 + + 12 23 34 56 7s 1011 1415 -. - . . -- 01 + 12 23 34 56 76 1011 1415 2122 `- - `- - - - - 01 0 + 12 12 23 23 34 34 56 56 78 78 1011 1011 1415 1415 2, 27. 01 6 v 12 23 34 56 N600 Peoo Q Tu R --lJ 125001 2000 ! 01 0 + ~12 23 34 56 78 34 56 78 1011 56 78 1011 1415 7s 10 11 14 15 21 22 01 -- 6 I v 1 12 6 1011 1415 2122 1415 21 22 ,,, 2122 0 ! v 12 23 a 23 34 1 I ,,, ,,, , -----[1!![ v II 1 +-+1-+ -11-l- +ti-i F+-11-t-. - . 111111111111111 -T,-u_rl,.T,-u-r1 1 -- -_ 2122 f) i [ II s,, 1 1 1 I -Ill"" I `: : " " - .- : : .- -. -. - - -. I - , , 1 I 1 1 1 + 6= = Use the firstsamplingplan below the arrow. If sample size equals, or exceeds, lot size, Ueethe first carry out 100% inspection. samplingplan above the arrmv. Ac = Acceptancenumber Re = Rejectionnumber Table 2-B -- Single sampling plans for tightened Ssmpk eize code Idler Semp size -- 0,01 -- -- . 0,01 1,02 -- Ac R 4(2R -- -- D,04 . 4CR -- Acceptance -- qualitylimit,ACJL, in percentnonconforming itemsand nonconformities per 100 0,06 -- 0,15 \c RI AcR 2 3 5 8 AC R -- -- 4CRI A B c D .< -, , ,. E F G H J K L M N 19 20 32 50 eo 125 200 315 600 . ,. -, . .. -, . I ) -- )1 -. n 1 -- 0,25 inspection -- 10 -- kc R (Master table) items (tightened -- -- inspection) -- -- 25C -- 400 Ac R -- 650 4C R 18 1! 272[ 414 27 41 Ic -- 0,4( 0,65 -- Ac R -- 1,0 1,5 2,5 4,0 -- 6,5 -- ACR 25 Ac RI 40 -- Ac RI 12 23 34 -- 65 100 15C Ac R -- +CR -- 4cRe AcRf * lc Rf -- -- -- 0" 4CF 2 3 5 6 34 56 89 1213 1819 9 v 12 23 34 56 69 1213 1619 51 6! 121 B' 121 161 121: 18 1! 272[ 01 D1 w. 1! "0 J (1 ! 0< 01 -- 1: 2: -- -- -- -- -- 181' 2721 A . 414: 12 89 121: 181$ 121 181 12 -- 23 34 56 2s 3f -- -- -- 01 t 12 5f 8$ 121: n 12 23 )1 1 12 23 34 -- -- -. - 12 23 34 56 09 23 ! 2 34 56 89 34 56 89 1213 56 89 1213 1619 09 1213 1819 1213 1819 -- . ., . -- !3 14 16 `9 -- 14 i~ 19 -. - P Q R s Soo 1260 2000 3150 T . v )1 !3 `4 I 116 -- 6 -- -- 21: . 2 -- -- V ~ = Usethefkatswnpling plan balmvthe arrow. If samplesize equals,or exceeds,lotsize, carryout 100 % inspection. = Use the firstsamplingplan above the arrow. -! M 1213 1819 1819 ~ -! II -I . - . . -- -- -- -- -1 AC = Acceptancenumber rg Re = Rejectionnumber IO N Table 2-C -- Single sampling Sarnpi size code letter eize plans for reduced inspection (Master table) items (reduced -- D,OII -- ic R{ -- 2 2 2 3 5 8 0,01' Ac R -- 0,02 -- kc R -- Acceptancequalitylimit,AQL, in percentnonconforming itemsand nonconfonnities per 100 -- -- 0,06s 0,1 hc I 0,15 -- (c Re Ac RI -- A B c - . - . I G H J K L M N P Q 13 20 32 50 60 125 200 315 500 600 )1 01 . I \ o 4 n -- -. , -. ! -. 1 -- 0,25 0,40 -- -- 0>65 1,0 1,5 2,5 -- inspection) 100 Ac Re 56 56 67 69 10 1' A 4( 7 7 8 a 4 -- 250 -- LCR -- 01 01 01 . 41 !1 2 A 400 Ac Re 14 1! 14 1! 14 1! 21 22 A -- 00( -- c R{ -- 03 03 4,0 6,5 10 15 25 AC 65 -- \c R -- 3 3, 5( -- 5" B! 01 -- 4C R< Ac Rf Ac R( Ac Re Ac Re Ac Re v 01 0 $CRe Ac Re 12 12 23 34 56 67 89 10 11 2 2 3 5 6 8 10 d 01 G ! J 12 12 23 34 56 67 69 10 11 11 23 34 56 67 B9 011' 01 $ 12 23 34 56 67 69 10 01 0 n I -- 0 91 0 6 5 - . \ -- 01 4 1 z 23 3 v 01 ! ! -- 12 12 23 34 56 67 ?3 )4 -- i6 -- n J -- o 12 12 23 -- 34 56 67 -- 69 0 12 23 34 23 34 66 67 69 10 1' 11 T ! -- `8 23 34 -- 56 67 12 12 23 34 56 67 i 12 23 -- 34 56 57 -- 39 . 69 10 11 S9 -- 56 67 99 -- 0 R -. v II -- 1' V ~ = USS the first sampling plan below the arrow. If sample size equals, or exceeds, lot size, carry out 100 % inspection = Use the first sampling plan above the arrow. . v -- . --o 1" --.. --T II 1 i i ~ -- L -- -- Ac = Acceptance number Re = Rejection number Table 3-A -- Double sampling I I .%mple ah cods Isttor A B c 0 E F G H J K L M N P Q R J& z = ~ ~ First 3acond First 3econd ~ = FksI Bacerut First Bacond First BacOnd First second First Bacond First second 0= 6. Use ~ ; : ; ; ;; 20 20 32 32 ~ : 125 125 200 200 315 315 !50a 500 600 600 1250 : ; . ,; ,: : 20 40 32 64 ,: ,% 125 2SI 200 400 315 630 500 logo m 1W3 *pk plans for normal inspection (Master table) 1 -- 40C Ac 1 Smpb Si?M I I CUM(J. Iative 0,01( Sampk "ACl? Acceptance quality timit, A(IL, ),015 Ic RI -- ),02 kF ),04 ),06 tc R 0,10 0,15 0,25 0.40 in percent nonconforming items and noncontormities per 100 items (normal inspection) 0,65 1,0 1,5 2,5 4,0 6,5 10 -- 25 -- 4CR -- 40 4CR -- . -- 65 65( 4C R 100 k R Ac Re Ac Re Ac Re Ac Re ACRe Ac Re ACRe Ac Re ACRe ACRe \c Rf -- n . v : t -- Ac RI I k R ! )2 12 -- ) ~ 14 13 45 25 s? 36 3 10 59 2 1: 31 31 5 21 !. -- 1 3 1: 4! 2! 6' 3f 9 1( * 5 !2 -- 1 16 1: 4! 2! 6" 3( 9 1( 5! 12 1 `1 18 1 2: 67 36 9 lC 59 12 1: 71 18 1! 11 1( 262 36 3 1( 1 [ ______ [ -----.--, 0 4 + + ;; -- 1 11 8 11 ?6 1 !6 2 . 72 17 3 -- !5 3 16 5 -- 6 17 2 17 3 -- !5 3 i6 5 ?5 3 i6 5 -- A I -- - ~ 0 0 :: :; 4 + :; :; j; -----,--, ~ -+ :;-03 13 25 * 1 ~ I ~ 34 45 67 1 1( 17 62 37 -- 4 `1 81 11 !6 2 11 !6 2 0 + ;: 0 34 13 45 25 67 + ;; 0 34 3 13 45 25 67 3 :; 0 34 13 45 25 67 3 0 34 13 45 3 13 45 25 67 25 67 36 9 10 81 4 * ;: 03 34 13 45 25 67 . -- G + 02 12 03 34 13 45 25 67 0 11 8 1$ -- 36 59 7 11 1 1( 25 9 10 12 13 18 19 `6 2; 67 -- 59 7 11 11 16 36 9 10 12 13 18 19 2627 36 59 9 10 12 13 + 02 12 03 34 13 45 25 67 7 11 11 16 36 59 9 10 12 13 18 19 2627 -- -- -- v -- 36 59 7 11 11 16 9 10 12 13 18 19 2627 - ., 1250 2500 1250 G .V 4) -- ) I 12 1; -- ): 1, 36 59 7 11 11 16 9 10 12 13 18 19 2627 59 7 11 11 16 36 9 10 12 13 18 19 2627 0 - 1-1 : `-1 `,1 -- -- - 7 11 11 16 36 59 9 10 1.2 13 78 19 2627 -- I -- L -- u -- -- first aamplin9 planklow thearrow.If sample sizeequals, arrow. or exceeds, lot size, carry out loa % insrmcfion. Uae the first sampfing plan above the Ac= Acceptance number Re = Rejection number = Uaathecorresponding singlesampting plan(oralternatively usethedouble sampling planbelow, whereavailable). Table 3-B -- Double sampling plans for tightened inspection (Master table) -- ,015 c Re -- r AccSObNi@3aualifv . . limit, AOL, in oarcent nonconforming items and nonconformities par l@l items (@fItti -- 1,065 0,10 0,15 0,25 0,40 1.0 1,5 2,5 4,0 6,5 10 15 40 65 -- . 100 150 250 CRc -- * -- 47 D 1' -- ; lC 516 ) 1, 3 2~ -- 5 2( 4 3! cRe . ins~on) fOO 650 0 c Re Ac Re Ac Re k Re 4CRC k2RE k Re Ac Re Ac Rs Ac Re ACRS Ac Re AcR -- -- CRS Ac Re Ac R{ cRe + AcRl cl * 3 2 -- c * 3 13 4 45 3 25 5 67 5 n ~ .~ 1 -- : , n 02 12 03 34 J o: 1: 0 3 1: 4! ,7 25 67 47 10 1 . . .- -. -. -- _ * -n -- j 10 516 -- I 14 324 G 435 -- 329 263 ~ 14 15 2( 124 34 3! 5 20 23 2! 4 35 525 329 263 A A 47 6 1( 10 11 15 1[ n n 02 - 12 $7 6 10 9 1, ) 11 1516 232, j 10 9 14 516 2324 I 14 324 4 -! - . . -- -1 -- * -- ~ --- . . ~ :" j 1 -- - . e ~ -1 02 - 12 0: 3A 312 445 25 567 02 12 -- 02 34 13 45 n n -- 02 12 0: 3, -- 1 4: 2! -. 02 12 -- 32 34 45 . 25 67 !1+ n J-JL1 Inl+ t! 02 12 1' `1"L 0313254' 344567fOl 13254761 45671011151 254761091 6 7 1011 ::1::1 ::: A . . 0203 1234 #i 1516232 -. . . . 03 34 13 45 25 67 25 67 47 6 10 9 14 10 11 1516 2324 13 45 25 67 47 6 10 9 14 10 11 1516 2324 13 47 6 10 9 14 10 11 15 i6 2324 -- -- - - . . 47 6 10 9 14 10 11 1516 2324 6 10 9 14 1516 2324 n 02 12 2 3 02 12 0 3 313 44 z 67 -- 4; 25 10 1 67 -- -- 47 6 1( 10 1' 15 1( 41 10 1 6 1( 9 14 151( 2324 -- 9 1 -G - 11232 . -1 - `-I 1`:1`~ I ~ : . - . -- . 0'= ~= use t~ first sampling plan below the arrow. If eampla size equals, or exceeds, lot size, carry out 100 % inspection. Uaa tha first sampling plan above the arrow. Ac = Acceptance number Re = Rejection number = Use the corresponding single sampling plan (or alternatively use the doubfe sampting plan below, where available). Table 3-C -- Double sampling plans for tieduced inspection -w@ aim coda Idrsf A B Sempb (Master table) -- -- 25 _Lk CumuSamp!e Islive eke emn,le 0'01( `e ),015 ),02! Ac R, kcRe Acceptance quality limit, AOL,k ),04 k R' ),06! k R 0,10 0,15 0,25 0,40 k Re k Rf (CRt c D E F G H J First 3acorld x K 3acond Firsl Firs4 3ac0nd 2 2 3 3 5 5 8 8 13 13 20 20 32 32 Flrel second First second Firsl 3ecorui First 3ec0nd YxSecOnd Firm Second 60 m w w 125 125 200 2oa 2 4 3 6 5 10 8 16 13 26 20 40 X2 64 60 100 so 160 125 250 200 400 315 630 - . . - - . . - n -- -. I T--0,65 I 1,0 I 1,5 I 2,5 k Rel Ac Rel Ac Rel Ac Re k Re ACRS \C Rc k Re ercent nonconforming items and nonconformities per 100 items (reduced inspection) F 4,0 0203 1234 -- -- 40 -- -- -- 65 -- 401 \c F -- 650 (c -- 00 -- CR 6,5 10 15 CR CR -- cR -- c Rs Ac Re Ac R< R ** * -- . . -- 1( `1 -- 4' *** % . * -- >2 }2 )3 )4 ) 3 14 .! -- 47 59 71 0 11 12 13 la 1 59 7 11 11 1 2 13 18 19 262 A A 13 45 !, i( 1( `f 01 4: D1 5{ 21 5! 21 !3 45 24 56 A - .. -. .- 0313 3445 24 56 36 78 36 ra 1324 4556 47 0 11 5{ 21 . - 0 -- 2436 567a 02031324 12344556 )3132436 3647 761011 + 4759 10 11 12 1: 59 12 13 47 0 11 59 2 1: 59 2 1: K L M N -- - . v -- -- -- - - P Q R V 4'= v w 315 315 n n -. V = Use the Iket sampling plan below me arrow. If sample size equals, or exceeds, lot size, carry out 100% inspection. , v 0 . 0 o -- -- 4) in 12 G 34 in 45 -- 24 56 -- 36 78 -- n QIA1.L? 02 12 -- 1: 14 -- 13 45 ,. -. .- - .- . UJ.w.ki 24136 5676101 !47159 i121: -- -. .- - .- . 1 r 3 1 -- = 364759 7aloll 1213 S6 -- 4759 36 10 11 12 13 76 -- 59 47 1 10 1' 12 13 +-- HI - ---- .! -. .. - .u . u i Usemefirstsampfing num~r plan above the emow. AC = b- Re = Rejec60n number = Use the oorreqmding singte sampling plan (or alternatively use me double sampling plan below, where available). Table 4-A -- Multiple sampling plans for normal inspection * we !c4s Snar A Curnu. (Master table) iWWCfiO?I) 100 ,cRel AcRel AcRf SamF4s ),01( San@a -- size Sk@ k RI -- -- -- kcRI k R AccerNance -- aualitv . . limit, 0,15 -- kc RI AQL, in percent nonconforming items and nonconformltles --. -- per lGO items (IIO~d 25 40 65 --. 650 --. ICRe --. --. ++ -- ++ -- -- Ooo -- c Re k( ),040 0,C6! -- AcR 0,25 -- AcRI 0,40 --. AcRe --. (),65 -- tC Rf -- 1,0 -- -- 1,5 2,5 4,0 6,5 10 15 4CR@ ,CR@ -- -- ICRe Ac Re -- -- k Re Ac Re Ac Re ACRe Ac R( + ! ++ ++ #4 15 26 47 67 04 16 38 59 9 05 38 6 9 " ++ ++ 04 16 3s 59 9 05 3s s 9 . ++ ++ 05 38 6 9 `1"1' ++ ++ ?9 B F -- FIaCoru 2 2 2 2 2 3 a 3 3 3 5 5 5 5 6 2 4 6 e 10 3 6 e 12 15 5 10 15 20 25 F ++ ++ 17 4 lC *+ ++ ++ ++ ++ ., - .. D Third Fou161 -- F3fth mar 3aocn . - ., E Third FciwttI -- Fti Fti Samll . . F Third Fowtt -- F~ mar sawn 8 a 8 8 8 8 16 24 32 40 - - G n-id Fowtl -- v F* v -- = Use the first sampling plan below the errow. If sample size equals, or exceeds, lot size, carry wt 100 % inspection, n -- v -- II -- v -- n -- F -- V2 12 )2 )2 n -- 42 03 ++ #3 D3 14 25 $5 #4 4 12 6 16 ` 14111 191172 3 19 1927 29 3[ 03 10 8 12 12 12 1; 13 -- 12 34 10 12 13 18 1! 17 29 04263414"4' 627 37 3f . . 112616 J2 )2 )2 F2 #3 03 + D3 D3 13 34 15 4 10 7 14 10 8 13 13 1! 12 12 17 20 2! 119172 927 29 3[ 14 26 47 32 12 25 I I 45 67 10 12 13 1s 19 262 17 29 . - #3 03 14 25 65 -- $4 #4 04 15 16 4 10 7 14 10 8 13 13 19 12 12 17 2025 * 26 38 47 59 -- -- n2 02 32 02 12 -- #: o: 1, 67 -- 04 3 10 12 13 18 19 2627 05 17 29 --- . - 15 16 3s 4 10 7 14 26 47 36 59 5 10 8 13 1319 3 12 12 17 2025 12 13 1s 19 2627 , 1 2! b' -- -- -- 67 -- 9 1( -- i -- -- O = Use the first sampling plsn above the amw. Ac. Acceptanoa number availsbla), Re = Rejaotion number = Uaatheccwaaponding single sampling plan(oralternatively usethedoubla sampling pian balow, where ++ = USS the corraeponding double sampling plan (or aitematiiely use the mutlipla sampling plan Mow, whare available). # = Aooeptansa is not permitted for this sample size. Table 4-A -- Multiple sampling -- -- Cww plans for normal inspection -- -- -- (Master table) (continued) -- ),01 -- lcu -- -- 1,01 -- b2P -- . ),02 -- bF . -- ),04 -- lcF -- Acceptance quality limit, AQL, in percent nonconforming items and nonconformities Per 100 items (normal insiYection) -- kF -- -- ),06 -- 0,10 k RI 0,15 kR( 0,40 k R( 0,65 &cRI -- 1,0 -- 1,5 2,5 4,0 6,5 25 100 k RI 150 250 k RI Fti 3aoald H Thbd FOurthl -- Fmh 13 13 13 13 13 20 13 26 36 62 - 65 20 40 + J F- ThirdSo FoUtlhl 20 Finh20 Fbsr32 32 32 32 I 60 30 100 -- 32 64 26 126 160 50 50 lcil 150 + K wand TMfd Fou!th Fmh32 F- t L 3ac0nd50 Fowthl 60 -- Finh50 2C9 -- 60 60 60 60 250 60 160 + M F- kond mrd I%urttl I nv -I : 1 1 n 02 02 02 03 03 03 15 400 -- MRJ 650 Ac R 1000 k Re Ac Re Ac Re Ac Re Ac Re . #2 #4 #3 #2 05 04 16 36 i #mRe 1' 41 10 61 2! rl 31 0 2 62 -- 14 25 26 3s 59 10 13 47 67 - n -- #2 02 02 12 -- #2 34 45 9 `*3 #4 04 05 36 17 1 112121 213181 2' 03 03 03 15 16 4 10 71 10 8 13 13 1 12 12 17 20 2 14 26 38 59 6 02 13 25 47 9 12 34 45 67 9 10 12 13 18 19 26 2 17 29 *2 #2 03 43 03 4r4 15 04 05 02 02 02 16 36 4 10 7 14 03 14 26 47 67 36 6 10 6 13 13 19 12 12 17 2025 13 25 59 9 12 34 45 *4 9 lC 12 13 18 19 26 27 17 29 #2 #2 e3 04 05 02 02 03 03 03 15 16 36 4 10 7 14 14 26 47 36 59 6 9 lC 8 13 13 19 12 12 17 2025 .- 02 13 25 12 #2 IV2 34 -- 83 03 45 -- U4 15 67 -- 04 9 lC 12 13 16 19 2627 17 29 05 02 03 03 16 36 4 10 7 14 240 320 400 02 02 12 14 25 45 26 47 67 3s 59 9 6 9 lC 6 13 13 19 12 12 17 2025 II [ I 13 34 lC 12 1? 16 1S 2627 ~= 0 k Ueethefirat aamplingplsn tralowthe arrow. If ew'npleeize equals, or exceeds, lot size, carry out 100 % ms.pect,on = Use the firaf sampling plan above the arrow. = A~ numw Re . Rejec60n number = Use the corraaponding single sampling plan (or atternelively uee the double eampling plan below, where avaiiable) ++.= Use the cormapendiig double sampling plan (or alternatively use the mutliple sampling plan below, where available). # = Acceptance is not permitted for thie aempie eize. N 03 Table 4-A -- Multiple sampling plans for normal inspection (Master table) eswJs ~ htler (conch.ded) -.--.. I y Acceptance quefify limit, AQL,in percentnonconforming itemsand nonconformities per 100 items(normalinspection) 0,063 Ac Re kRe Fins Saoend 125 125 125 125 125 200 200 n #2 02 02 02 12 i12 03 03 13 34 #3 03 14 25 45 #2 T 0,10 02 02 02 12 82 03 03 13 34 #3 03 14 25 45 #4 15 26 47 67 -- -- 25 -- 0,15 0,25 0,40 ,0,65 1,0 1,5 2,5 4,( 6,5 -- hcH -- 4 10 15 40 65 -- -- -- 100 150 250 -- . -- cR -- -- 650 -- c Re -- A -- la! -- ICRe -- AcRe ACRe Ac Re Ac Re Ac Re Ac Re Ac Re ACF #2 03 03 13 34 #3 03 14 25 45 #4 15 26 47 67 04 16 38 59 #3 03 14 25 45 #4 15 2e 47 67 04 16 38 59 0 05 36 6 9 *4 15 26 47 67 04 16 38 59 9 05 36 6 9 04 16 36 59 9 05 36 6 9 05 36 6 9 17 29 A u Re Ac R A A CR -- A LC Re Ac R A A A c RI -- 4 Ac R@ -- A A 4 10 7 14 10 6 13 13 19 12 12 17 2025 1s 19 2627 29 N TM Fouim Fiflh Rrd 3smnd 10 1213 17 -! - . - 4 10 7 14 10 8 13 13 19 12 12 17 2025 -,. - P mm Foulth Rfal First 3amncl m 200 200 315 315 315 315 315 500 500 5rM 540 500 10 12 13 1s 19 2627 17 29 - - . - .. - 4 10 7 14 10 a 13 13 19 12 12 17 2025 Q TIW Fourlh Finh Rrst 3soond 10 12 13 16 19 2627 17 29 4 10 7 14 10 6 13 13 19 12 12 17 2025 R mrd Fo4sth Fmtr 0 9 10 12 13 16 19 26 27 = I.he ths first sampling plan below the arrow. If sample size equals, or exceeds, 101size, carry out 10+3% inspection. v ---~-1 I . - - - . - -. - `: ~ -- -- -~1- -- .I -- -- 1. -- -- -- O = Usethafirst sampling planabove thearrow. Ao= ~ n~bgr Re = Rejactim number = USS thecorresponding single sampling plan (or altamatively use the double sampling plan below, where available). ++ = LISSthe corresponding double sampling ptan (or &dternafivelyuse the mutliple sampling plan below, where available). # = Aooeptance is not permitted for this sample size. Table 4-B -- Multiple sampling pians for tightened -- Acceptance inspection (Master tabie) quality limit, AQL, In percent nonconforming items and nonconformities -- (),2: Ierbl A -ii4cR -- 0,4 kcR -- r 0,65 -- 1,0 ACRe AcRI -- k RI -i7 -- Rtar -- -- 2 2 2 2 2 3 s s s 3 5 5 5 5 5 e 8 e 8 e 2 4 6 8 Second . . . . -. D mrd Fourth -- Fif61 Firal Saoond - 10 3 6 e 12 15 5 . . . . -- n .-- 1 -- -- 1,5 2,5 -- 4,0 -- 6,5 -- 10 15 $CR k Rc k RI -- z -- per 100 items (tightensd inspection) 25 -- 40 65 AcRe Ac17 ACRe Ac R@ Ac R( + AcRe AcRe + ! -- -- J'j 4 * -- ++ -- ++ -- $3 03 14 25 45 -- #4 4-+ ++ r14 15 26 47 67 04 ++ ++ 04 27 49 ++ 82 #2 02 03 02 02 .0 3 13 6 11 11 15 162 1011 06 39 15 16 232 1631 E TMrd FWUI -- F~ Fkat w . . . 1 -- 10 15 20 25 6 16 24 32 F mint Fourth . Fifnl mar second G mrd Fourth Fti . - -- -- 40 v -- v -- n -- Q = 6 Ueethefirst aarnpling plan below tha arrow. If aampla eize equala, or axceeda, lot eiza, oerry out 100 % inepaotkm = Use the first sampling plan above the arrow. I . T'I 02 02 02 03 03 13 34 03 15 27 49 612101 14 26 7 12 11 17 172 25 47 6 11 11 15 1622 25 3 I!2 >2 )2 12 -- B2 03 03 13 14 45 67 10 11 15 16 2324343 06 3e 16 Ss 03 14 25 #4 15 04 27 49 6 12 26 47 7 12 11 17 12 12 6 11 11 15 1622 10 11 15 16 2324 06 39 S5 #4 15 26 47 67 04 27 49 )2 )2 )2 )2 F3 33 14 25 15 -- II -- #2 12 #2 34 #3 18 8 12 7 12 11 17 * ++ 7 --- -- . 100 l!X 254 -- 400 650 -- k RI Ac Rt k RI * * +-4 4-+ ++- ++ -- ++ ++ ++ -- -- I 1( ++ -- ++ -- .. - 0611 6 15 3961 o 1' 16 2! 72 26 3! 3a 4: 52X -- 712111 `5 3 da -- i 1! A 6 2! 6 3! 8 4{ 25 -- - - - - 6 11 11 15 16 22 15 16 2324 -- 2 B 7. 1011 1 A -- Ac = Accaptanoe number Re = Rajaotbn number = Uae the cmaaponding aingla aamplhg plan (or alfamattveiy uae tfre dout4e aamphg plan bebw, where availebk). ++ = Uaa the oorreaponding double sampling plan (or aifemativety uaa tha muflipla sampling plan below, whera availaMe). # . Acoeptanoa is not permitted for ~ie aemple tie. Table 4-B -- Multiple sampling plans for tightened inspection (Master table) (continued) -w ~ Im9r Rr8r Saasld H Tfrir71 Fourlh Fiith Feacond J mrd Fourth Fifth FW saoond K mrd FowltI Fm Rra4 second L mwf Fou#I Fti Rrat eacorrd M lhird "I%urm Fmh 13 13 13 13 13 20 20 20 20 20 32 32 32 32 32 60 50 60 50 50 60 60 80 80 60 Camu huva awm ah 13 26 se 52 6S 20 40 60 80 100 32 64 * 126 -- -- 0,01 Ac$ Accepfsnca -- guslitylimit, AQL, 0,1! kfl 0,2! ACR -- In I !rcent nonconforming items andnonconformitles -- per 100ltems 15 25 ic F 40 4CRI (tightened ir 65 {c RI 100 4sR Iection) -- -- 250 4CR 400 - y 0,1[ 4CR kcfl 0,40 Ac R( 0,65 1,0 4CRf 1,5 2,5 4,0 6,S 10 160 -- 4cR n II -- -- . #z *2 #3 02 03 03 03 Ac Re Ac Re Ac R( Ac Re J%1% + U4 15 26 47 67 04 27 49 04 27 49 Oe 3s 7 1; . 02 14 02 13 25 6 11 11 1! 10 11 15 11 #2 02 02 12 -- M2 03 34 -- #3 03 45 -- #4 -- 06 39 7 12 15 03 14 26 47 D2 12 -- !2 13 25 6 11 11 15 10 11 15 16 06 39 18 6 12 lr2 02 02 02 12 -- n2 >3 33 13 14 -- !3 >3 14 ?5 Is -- 34 -- #3 03 14 25 45 -- #4 45 -- #4 67 . 04 D3 33 13 14 -- !3 )3 14 25 15 !4 15 26 $7 37 15 26 47 67 -- 04 27 49 27 49 7 12 11 1; 6 11 11 15 16 22 10 11 15 16 23 24 --. 18 06 39 6 12 180 60 82 02 100 160 m 260 80 160 240 S20 403 15 26 47 67 04 27 49 . 02 02 12 #2 02 02 02 #2 03 03 13 34 -- 7 12 11 17 6 11 11 15 16 22 10 11 15 16 2324 --. 18 06 39 6 12 7 12 11 17 6 11 11 15 16 22 10 11 !5 16 ?3 24 [ -- -- 12 V = Ma the first sampling plan below the arrow. If aampfa size equals, or axceeda, lot size, carry out 100 0/0mspeciion. v . I `O= U= MOWet eemplhg Ac = Acceptance number Re . Rajacfim number * = We the mrraapodng plan above the arrow. single aam~hg plan (or aftematively usa tha double samphrrgplan below, where available). plan (or ++ = Uaa the corresponding doubla sampling alternatively use the mutliple sampling plan below, where available) # . Acaaptanca is not permitted for this sample size. Table 4-B -- Multiple sampling plans for tightened inspection (Master table) (conchfded) -- -- Fme4 Seoorei N mrd Founh F& Fim Ierlve Size -- ),01 -- 4CF -- ),01! -- k R k R' -- -- Acceptance quality limit,AQL,in I -- -- wcent nonconforming Items and nonconformities par 100 items (tightened inspection) -- -- kR -- 3 3! F1 11 51 -- II )1 11 62 -- Yom -- 0,10 -- 325 125 125 125 125 206 206 200 200 206 315 S15 315 315 315 500 600 300 500 600 aoo 125 260 376 500 625 -- 200 400 &Xl Soo lWO 315 636 045 1260 Secald P mrd Fourth -- Fti Fires second Q 7MJ Fmeth Fe FSeeald n n-- -- 4CR4 ACRe Ac Re -- #2 *2 02 02 03 0,15 -- 0,25 0,40 0,65 1,0 1,5 -- 2,5 4,0 k RI -- 6,5 10 K 15 -- bcI? -- A 25 40 AcRI 65 k R( 100 \c R( 160 k R 250 400 4CR 650 -- 4CR( 1Ooc ACR@ Ac Re AcRI #3 03 14 25 #4 15 26 47 67 -- 04 27 49 04 27 49 6 11 10 1 -- 06 3s 7 1: RI lE i 1: 11 62: `3 2, -- A 4 03 02 13 82 12 -- #2 03 34 -- #3 03 45 -- #4 !5 26 47 67 04 27 49 02 02 02 12 03 13 34 -- $3 03 14 25 45 -- 84 15 26 47 67 -- f4 25 45 -- a4 15 26 47 67 -- 04 27 49 6 11 11 1! 1011 -- 06 39 15 1{ -- 18 6 li `3 2 -- #i Oi 82 03 03 13 34 -- 83 03 02 Oi 7 12 11 1 6 11 11 15 16 Z 10 11 1516 -- -- 18 oa 3e 6 12 2324 -- -- 1575 600 1000 1500 V u: Oi 12 -- #i R lwrtl Founh 02 Oi li 03 14 25 45 -- 7 12 11 17 20W 25W 660 1: 3* 6 11 11 15 1622 10 11 1.s le 2324 -- -- -- -- Fulh Fwet -- aeOOnd Soo 1s00 2400 3200 4orm v -- ., 1 -- -- -- s mint Fourth Fdth Sal W41 600 -- . -- -- -- v = Uee the fimt aemplkrg plan belowfhe arrow. If earnple eke equals, or exceede, lot eize, carry out 100 % inapaotion tie fht emplhg number plan above the arrow. 6 =h Ac = kca@nce Re = R@actiwI number . Uee the cormaponding single eemplmg p&n (or altemetivety uee 4hetible eemplii @en below, where available). ++ = We the conwponding double esmpll~ plen (or alternatively uee the mutiipb sampling plan below, whera available), # = AccwXance ie mt permitted for W!a eempb eiza. cd M Table 4-C -- Multiple -- wnuImive em sampling -- -- plans for reduced -- -- -- inspection (Master table) per 100 items (reduced inspection) -- 1,015 -- c Re -- Acceptance -- quality limit, AQL, in percent nonconforming items and nonconformities --. 1,065 0,10 -- c RI 0,15 --. \c Re --. ),25 -- c ; Re -- 1,40 -- c Rf ),65 -- ,CRf hc !+ -- -- -- ...- -- 2 4 6 s 10 -- 3 6 9 12 15 5 10 15 20 25 -- . .. . * -- [ -- ~ ~ = Use the first sampling plan below the arrow. If sample size equals, or exceads, lot size, carry out 100 % inspection. = Use the first sampling @an above the arrow. I .n IT v -- -- * . . ./ -- . -- ..n-1,0 1,! -- 4,o 6,5 \c F -- AcRe Ac Re 4 -- . 3 -- .!. x T T --10 #2#2 #3*3 0203 0203 0213 0314 1425 2535 4556 -- --. 250 c R6 -- -- 000 I -- 15 25 -- 40 -- 65 100 150 -- kcRI -- . -- . 400 ,CR( -- * -- 650 --. ICRe --. . --. . k Re Ac Re 4CRe AcRe c Re Ac RI . -- [ .-. I -- 1234 #2#3 #z #304 02 02 02 0303 0314 1325 1416 2527 354s $_ 8 . ++ ++ +-+ +-+ ++ 04 16 27 4s 7s 04 27 49 . -- . -- * . -- * -- . . * -- . -- * c : Re -- . -- . . ++ -- 4 ++ ++ ++ )5 )s ++ ++ .++ ++ ++ -- ++ -- ++ -- 04 27 49 10 12 6 11 10 11 05 2 13 .- . - 3s 6 1( 6 11 9 12 [ T -- # o 0 0 12 -- #z 03 i3445 567S #3#3 0404 10 11 12 1: -- -- 05 3s . - 0314 1627 03 1425 2749 4S 6 9 lC 13 2535 611 12 1 -- 34 . 4556 7s t 1011 12 1: -- -- [ - I -- -- A -- Ac = Acceptance number Re = Rejactioa number = Use the mrrespmdng eingle eampling plan (or alternatively uee the double sampling plan below, where available). ++ = Use the corresponding double eampling plan (or alternatively use the mutliple sampling plan below, where available). # . Acoaptanca ie not permitted for this sample size. Table 4-C -- Multiple sampling plans for reduced inspection (Master table) (continued) am@e aza Zumu- kmpla mea -- btl.r Fmr eize larM wc@e size 8 16 24 32 40 13 26 39 52 65 20 40 64 60 100 32 64 96 126 160 -- ),01( -- k R -- ),025 -- w Re ),04( Acceptance qualitylimit,AQL, -- in percent nonconforming items and nonconformities 0,65 -- 1,0 1,5 -- 2,5 -- 4.0 -- 6,5 4CRe 04 10 per 100 items (reduced inspection) -- ,06 -- 0,10 -- ,CRe -- 0,15 -- w Re -- 0,25 ),40 -- . -- 4 7 9 15 65 -- (c R 150 250 400 650 1 WC 4CRf -- 6 6 ic R . J ThirTJ Founh 8 6 -- Ftih Fket 3acorX -- 13 13 13 13 8 K Third Fowth -- Fti First SacOne -- 13 20 20 20 20 20 32 32 32 32 L Tr'ird Foutlh Fifth Fuel .3scwrs v -- M mrd Fourih Frlth -- 32 V ~ = Use the firet sampling plan below the arrow. If eampta size aquels, or exceeds, bt size, carry out 100 % inspection = USS the first sampling pfan above the arrow. v-- I v I -- -- .v I -- -- -- .v II I -- -- -- ,C R -- \c Re -- c RI -- 4CRe &cRe Ac Re #2 #2 4CR6 k R( -- #3 #3 03 14 25 85 -- #3 14 25 35 56 04 i, c Re -- AcR -- 0! 3( \c RI -- A 02 03 14 25 16 02 02 03 27 61 91 - 13 35 46 78 11 ) I -- -- -- ,- #2 12 -- #2 03 03 34 -- #3 03 56 -- 04 04 11 12 1 -- `5 8 10 12 3 02 16 27 49 02 02 14 27 48 13 25 6 11 10 11 -- 05 38 -- I -- 12 )2 )2 )2 12 -- #2 03 03 34 45 #3 #3 78 . 04 27 - 03 14 16 14 25 27 49 5 10 12 - 13 25 35 46 6 11 9 10 1' -- 05 38 #z 12 -- !2 )3 )3 I 34 -- #3 03 45 -- 83 14 56 -- 04 78 -- 04 27 12 13 02 16 02 14 25 35 27 49 5 3 1{ 1; 02 25 48 6 11 12 -- 1, -- 45 -- 56 -- 78 -- 10 1' 12 1: Ac = Acceptance number Re = Rejectton number = Use the canseponding single sampling plan (or alternatively use the double sampling plan below, where available). ++ = Uea tha oorreeponding double sampling plan (or alternatively use the mutliple sampling plan below, where available). # . Acceptance is not permitted for this eempla sue. C4 a Table 4-C -- Multipie sampiing pians for reduced inspection (Master tabie) (concluded) m culru- Acceptanca 0,010 0,015 0,025 0,040 0,0s5 quahfy limit, A(2L, In percent nonconforming items and nonconformities per 100 items (reduced inspection) 0,15 025 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10 15 25 40 65 100 1~ 250 ~ MleI - ~ ~ eke 0,10 kRe Ac Re Ac Rn Ac Re ACRe Ac Re Ac Ra A&Re ACRe Ac Re Ac Re ACRe Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re ACRe Ac Re ACRe AcRe AcRe AcRe Fsecond N Third Fwnh F~ Frrar 50 60 50 60 50 60 !3) 100 150 200 254 60 II 3econd 60160 P lNrd Fourlh F16h Flrar Sacard 0 TNrd Fowlh 60 60 m 12s 125 125 125 125 Fret second R Th&d FoWr " Fifth 200 200 200 200 200 240 320 400 `1 125 250 375 5W 625 200 400 eoo m low : 0 0 = Use the fifaf SmpMhl b = Uea the first aemplii kti plan abova the arrow. -. I `1 v -[ I 02 2 02 z 03 03 03 14 16 27 49 38 vI #2 #2 z 13 *112 34 ;-2 02 02 :: 03 03 14 02 13 25 I 12 34 45 rr2 02 $2 #3 #3 03 03 14 02 03 14 25 02 13 25 35 12 34 45 5e U2 #3 83 04 03 03 14 16 03 14 25 27 13 25 35 48 34 45 5e 7s 83 #3 04 04 05 ~ ~ ~ 4$ ~ ~ ~ ~ ~ ~ =+4= 403 650 1000 400 14 25 27 6 10 25 35 48 6 11 9 12 45 .56 78 1011 05' 38 1213 "m 3 `#3 03 14 '04 16 27 '04 ,2 7 lmmmt 25 49 6 10 12 3s 48 6 ,11 9 - - 56 76 10 11 12 13 05 04 04 16 27 3s 27 49 6 10 4s s 11 9 12 7e 04 1011 05 1213 -- .- - ., #2 02 27 36 02 49 6 10 02 6 11 9 12 12 1011 1213 the a-. If eampla eize aquala, or exceeds, lot eize, cany out 100 % mepaction. Ac = Aooapfarrca number Ra - Rajadion number = Uee the mmeapomdng aingte aam~ing plan (or alternatively uea the double sampling plan below, whare available). doubla aamplimg@an (or altemativaly uee the mutliple eampling plan below, where available). ++ . Use the co~ng # = Aooeptance Lanot permitted for this aampte eize. . Table 5-A -- Producer's risk for normal inspection (in percent of lots not accepted for single samplingplans) S12s sample Acceptance quafitylimit,AQL, in percent nonconforming items and nonconformities per 100 items (normal inspection) 0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 1,5 2,5 4,rJ 6,5 ;: ;;': ! :;': , 11,3 11,4 12,2 12,2 12,2 12,2 12,0 12,0 11,8 11,s 11,3 11,3 11,8 11,0 12,2 12,2 11,6 11,6 11,8 11,6 11,3 11,3 11,8 11,8 6,41" 6,41" 7,15* 7,15" 10,1' 10,1" 9,02 9,02 7,15" 7,15' 10,5" 10,5' 9,02 9,02 4,74 4,74 7,44" 7,44' 10,6" 10,6' 9,63 9,63 4,92 4,92 4,31 4,30 7,15" 7,1s 10,P lo,e 9,02 9,01 4,74 4,73 333 3,S2 1,66 1,65 7,1s 7,1 5* 7,63' 7,64" Io,w 10,s" 9,63 9,5s 4,92 4,87 4,31 4,25 1,s3 1,s0 1,63 I ,79 1,77 1,74 l,g5 1,91 1,41 1,36 7,15' 7,16' 10,5" 10,5" 9,(J2 8.94 4,74 4,66 3,s3 3874 1,66 1,60 1,55 1,50 1,37 1,32 1,73 I ,~ Q,g4r) 0 ,907 7,15" 7,1& ;:; . 10,5" 10,s 9,63 9,32 4,74 4,39 4,11 3,77 1,66 1,44 l,a 1,47 1,37 1,19 1,73 I ,52 1,Q2 (),363 :: , . ;:. , 10 . ;;;. , ~ , 16 9,45" 7,54 4,05 3,3s 1,46 , ,9 ` "w "w 0'w7 25 9,02 4,05 3,63 1,66 1,63 , s, ` ` '73 "%0 40 4,74 3,36 1,66 1,66 1,77 , 73 ` "m 65 4,31 1,46 1,m 1,77 2,62 , a, ` 100 1,66 1,19 1,37 1,73 1,41 150 1,19 0,667 1,03 0,s07 0,979 250 1,37 1,03 Q,g40 1,35 2,17 400 1,73 65o 1,41 1000 1,35 Ierler A B c D E F G H J K L M N P a R tie 2 3 5 8 13 20 32 so so 125 200 315 500 600 , (),607 (),979 o,627 1,35 1,73 2,17 ;: , 4.74 3,s1 4,31 3,42 1,66 1,13 1,66 1,17 9,63 9,10 5,41 4,60 4,31 3,74 1,s6 1,W 6,S5" lo,& 6,66' 10,s" 9,45" 9,45* 8,42 6,3o 4,05 3,3!2 3,36 3,26 1,25 1,1s 1,19 1,13 Q,936 Q,W2 9,0z 6,S2 4,74 4,52 3,33 3,s2 1,66 1,52 1,46 1,36 1,37 1,26 1,52 1,41 1,S!3 1,37 1,47 Q,935 1,77 1,43 1,85 1,60 1,41 1,13 1,73 1,23 (),g40 0,626 7,1 5" 10,5" 7815" 10,5" 9,02 6,SS 4,74 4,71 3,92 3,89 1,66 1,63 1,66 1,66 1,37 1,35 1,73 1,71 6,41" 10,1" 6,41 10,1" 9,4& 9,4V 6,20 S,19 4,05 4,04 3,3s 3,37 1,25 1,24 1,19 1,16 9,02 9,00 4,66 4,54 3853 3,81 1,66 1,s4 1,48 1,47 1,37 1,36 1,03 Q,g4Q 1),971 o,657 0,607 0,570 `2W z ~7 ,15" 9,4V 7,15" 9,45" NOTES 1 The pmducsfs risk is the probability of nonacceptanoa for lots of AOL qualify. 2 Uppar entriaa are for inapaofh for nonconformitiea par 100 items and are based on the Poisson distribution. Lower antrfes are for inspection for percent nonconforming and are based on tha binomial distribution. 3 Superscript" denotes that the valye is for the optionsl fractional acceptance number sampling plsn (see Table 11-A), cd m Table S-B -- Producefs risk for tightened inspection (in pWCf317t of lots f'IOt accepted for single samplingplanS) Smnple sisasemp10 tedsska .1 h A B c D E F G H J K L M N P 0 f? s 2 3 5 8 13 20 32 50 60 125 200 315 .500 Soo 1250 Zm 18,1 18,1 3150 Acceptancequality limit, A(2L, in percent nonconforming 0,10 0,15 0,25 0,40 0,65 1,0 1,5 items and nonconformities 2,5 4.0 605 10 1s 1 ,9'0 17,7 15,3 18,1 18,5 18,1 18,3 13,7" 14,T 15 per 100 items (tightened Z5 40 19,1 12,1 14,3 10,5 5,19 1 inspection) 150 8,39 4,03 4,27 3,74 4,09 250 6,61 4,27 5,19 5,25 6,16 400 6,38 3,74 5,25 5,12 650 6,96 4,09 6,16 1000 5,25 2!21 0,010 0,015 0,025 0,040 0,065 65 14,3 13,4 11,1 8,19 8,79 100 14,3 8,39 6,S1 6,38 6,98 13,7" Zl,r 17,Y 17,3 12,1 13,4 I 17,3 13,2 14,3 11,1 15,5" 21,W 15,9" 21,6" 19,1 18,7 14,3 13$4 15,1" 22,T 15,7 22,6' 22,r 22,V ;;: 20,7 20,5 17,7 17,8 ;:'; 18,8 18,8 18,1 18,2 18,1 in 3 ,", . *C 9* .-, - 15,s 15,V ;;': , ;~. , ! ! 15,1" 15,2" 19,T 19,8" 17,3 17,3 12,1 *4Q ... " 19,1 19,0 13,2 12,9 14,3 iA 1 .-, . 13,8 13,5 14,3 13,9 10,5 ,lee o,le4 ),31 1 0,46( 0,311 0,42( 1,s4 1,16' ),791 -- 0,771 0,66! 0,5% P Q R . 0,266 O,XY O,w -- -- -- s NOTES -- -- -- -- 1 At ths consumar's risk quality, 10% of lots will ba ercpec+ed to be accepted. arabasadonfhePoisaondistributlon< 2 A3thevafues 3 --" ~fes tit tb WIUSIb for tha O@OnSlfmctbsl aocWtence numbar samphng plan (sac Table 11.B). Table 7-C -- Consumer's (in nonconformities SSKQIS I I Snll-klb Size "e risk quaiity for reduced inspection per 100 items) per 100 items for single sempling plans, for inspection for nonconforrnitiee Acceptana qualiiy limit, AC)L, nonconfonnities per 100 items 1,0 1,5 2,5 4,0 6,5 115 115 115 76,8 46,1 28,8 115" 11s llV 83,0' 77,6 66,5 51,4 40,0 32,9 26,0 19,3 10 116" ll& 12s 130 106 83,5 81,5 52,7 40,6 30,6 15 125* 125' 194 177 134 99,9 81,0 66,0 48,1 25 194" 194 286 223 160 132 100 77,0 -- 0,010 0,015 0,025 0,04 0,10 0,15 0,25 blw A B c D E F G H J K L M `u" 2 2 2 3 5 8 73 20 32 50 80 125 0,40 0,65 40 266 266 334 266 211 162 119 65 334 334 400 351 280 193 100 464 464 527 433 308 150 589 W9 650 514 403 250 no 770 770 671 564 400 1008 1006 1006 939 650 1409 1409 1409 10LN 1914 1 91( 76,8* 77,5" 49,6" 48,6 40,9 33,4 25,0 21,1 16,2 12,3 46,1 " 46,5" 26,6" 29,1 " 31,1" 17,9* 19,2 19,4 16,6 13,4 9,99 6,43 6,50 4,89 29,9 26,6 20,9 16,0 13,2 10,4 7,70 -- 17,7 11,5 7,20 4,61 2,88 7,20" 11,5" 7,26" 4,9W 4,86 4,26 3,34 2,54 2,11 1,62 17,7" i 1,6* 12,5' 7,7a= 7,7a 6,65 5,34 4,00 3,34 2,60 12,2 10,6 8,35 6,39 5,27 4,13 3,06 -- 4,61 " 4,6Y 3,11" 2,6W 2,91" 1,84 1,84" 1,88" 1,99' 3,11 -- 1,25" 1,84 2,66 I,lr I,lr ,7W ),791' 0,778 1,23 1,06 1,69 1,34 2,12 1,60 Q R 500 800 0,461 0,461" 0,465" ,496 0,28W 0,291" 0,31 1" ),486 D,665 0,835 D,999 1,32 -- 1,93 NOTES 1 At the consumer's risk quality, 10% of lots will be expected to be accepted. 2 All the values are based on the Poisson dstributii. 3 Superscript" danotea that the value is for the optional fractional aweptanc=s number sampling plan (sss Table 11-C). Table 8-A -- Average outgoing quality limits for normal inspection ma Om bttsr A B c D E F G H J K L M N P (Single sampling plans) Acceptance qualii dzs 0,010 0,015 0,025 0,040 0,065 0,10 0,15 limit, AQL, in percent nonconforming items and nonconformities per 100 items (normal inspection) 0,25 0,40 0,65 1,0 1,5 2,5 4,0 6,5 16,4 14,6 12,3 10,5 7,36 6,70 TO"" 10 15 25 42,0 40 66,6 64,7 63,4 55,9 I I 65 97,1 106 69,4 61,6 I I 100 158 149 131 117 I 150 224 218 188 163 I 250 326 313 293 271 I 400 470 469 434 650 733 723 661. 1000 1085 1102 o 0 0 n) 2 3 5 8 4,60 A WI 28,0 45,7 38,6 39,6 I I :;: 1 . .. I ,", !,,.," 16,6 ,60 27,4 --.-- ::; I . ..", 24,3 i 13 20 32 50 60 125 200 315 500 600 0,0460 I 413 `H i I x -,, 1,84 1,79 1,15 1,13 0,736 0,726 0,460 0,457 0,294 0,293, 0,184 0,183 0,117 0,117 0,0736 0,0735 0,105 " I I 4'20 4,14 2,62 2,60 4,26 4,27 3,88 3,69 3,98 3,96 3,58 3,60 3,26 3,26 2,98 3,00 2,93 2,94 I :': I H I ::': I24,4134,4 I50,2 I723 I 113 I 167 I 254 I I ","- .. . o ",- { ! II t 6'M 6,62 6,07 6,08 6,34 6,36 5,59 5,63 5,22 5,26 4,70 4,73 4,65 4,69 9'7' 9,75 9,90 10,0 6,94 9,06 6,16 6,27 7,52 7,61 7,33 7,41 `5'8 16,2 14,0 14,3 13,1 13,3 11,7 12,0 11,7 11,9 22,4 Z. d ` `6'6 ,8 s ` 32,6 29 ~ ` 29'3 47,0 456 ` 73,3 1,68 1,67 1,05 1,05 0,672 0,670 1,10 1,10 0,971 0,971 1,01 1,01 0,894 0,895 0,616 0,617 0,752 0,753 0,733 08734 1,71 1,71 1,55 1,55 1,56 1,59 1,42 1,42 1,31 1,31 1,17 1,16 1,17 1,17 2,74 2,74 2,43 2,43 2,53 2,54 2,24 2,24 2,07 2,06 1,88 1,69 1,63 1,84 0,420 0,419 0,267 0,266 0,188 0,166 0,274 0,274 0,243 0,243 0,253 0,254 0,224 0,224 0,435 0,435 0,388 0,388 0,396 0,396 0,356 0,356 0,326 0,327 0,886 0,685 0,617 0,617 0,634 0,634 0,559 0,559 0,522 0,523 0,470 0,470 0,0460 0,0294 0,0294 0,0872 0,0672 0,105 0,110 0,110 0,171 0,171 0,155 0,155 0,156 0,158 Q R ` 2W 2000 0,0420 0,0686 0,0971 0,0420 0,0686 0,0971 NOTE Upper entties are for inspection for nonconformitias per 100 items and are based on the Poisson distribution. Lowar entries are for inspection for percent nonconforming end are based on the binomial distribution. Table 8-B -- Average outgoing quality limits for tightened inspection (Single sampling plans) mle -W1'Klh ---r- Acceptance quality limit, AQL, in percent nonconforming items and nonconformities per 100 items (tightened inspection) Code letter ske -- I 0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10 I 15 16,4 14,6 25 40 42,0 65 66,6 64,7 63,4 64,3 61,1 61,9 100 97,1 106 103 99,3 95,2 150 158 172 159 155 149 250 257 265 247 242 235 400 397 412 367 362 650 619 644 612 1000 966 1020 A B c D E 2 3 5 8 4,60 4,33 2,63 2,73 6,46 6,32 ;': , y; ),736 ).726 ),460 12,3 10,5 7,36 6,70 16,6 ::': 10,5 10,5 :';; ! :.: 10,3 10,5 9,93 10,1 9,90 10,1 28,0 27,4 45,7 36,6 39,6 39,6 39,7 36,7 -- 13 17,1 24,3 14,9 24,4 15,6 16,1 ,5 ~ ` ,5 s ` 25,7 24,8 247 ` t=--Ftt3 H J K L M N P Q R 32 50 60 125 200 315 500 600 1250 0,0164 0,0164 0,0267 0,0267 0,0294 0,0294 0,0460 0,0460 0,0736 0,0735 0@15 0,105 0,0672 0,110 0,0672. 0,110 0,0420 0,0666 0,0971 0,0420 0,0666 0,0s71 0,117 0,117 z 1,166 z 1,171 1,155 1.155 0,164 0,163 ),267 ),266 F ),274 1,243 1,243 1,253 1,254 G 1,79 -- :: ! $': 3:66 3,89 3,96 3,96 4,12 4,14 3,97 4,00 3,93 3,95 y; 6,34 6,36 6,43 6,49 6,36 6,42 6,19 6,25 1,66 1,67 1,05 1,05 ),672 ),670 G 1,71 1,71 I ,55 2,74 2,74 2,43 2,43 2,53 2,54 2,57 2,56 2,52 2,53 2,47 2,46 ixz ),293 )f5J 1.10 I ,55 1,971 1,56 1,971 I ,59 I ,01 1.01 I ,03 I ,03 G ,995 `,9SC -991 I ,63 I ,54 I,59 I ,59 I,55 I ,55 ),420 ),419 ),435 ),435 G ),366 K ),396 ),412 ),412 G ),665 ),617 ),617 E ),634 G ),644 ),636 ),636 2W 1,156z z G I. 158 1,257 1,396 ),619 s NOTE 3150 -- Upper entries are for inspection for nonconfonnities per 100 items and are based on the Poisson d~tnbution, Lower entries are for inspection for percent nonconforming and are based cmthe binomial distribution. * Ur IS 2500( Patil ):2000 ISO 2859=1 :1999 Table 9 -- Average sample size curves for singie, doubie and muitipie sampiing (normai, tightened and reduced inspection) Single n . Single Single Average sample size Double 0,75 n ~ 0,75 ~ Multiple 0,50 n 0,50 0.50 0,75 m Double 0,25 n . I 0,25 0,25 n Ac.1 3 4 o t. 0 1 2 ob---JE 0123456 n Single Double 0,75 n . Ac=3 o l---l= 01234567 n x proportionnonconforming Average sample size `~ Double 0,75 n 0,50 n Multiple 0,S) n k0,25 n ol___Ez O1-t--tz OL-E o 3 6 9 12 0246610 t 0,25 n t o 3 6 9 12 r) x proportion nonconforming Average sampia size `h 0,50 `* 0,75 n . n . Single n Double 0,75 0,60 0,25 n olJ__EE o 3 6 9 12 o~ 0 4 0,25 8 12 16 ol-d--Ez 0369121516 n x proportion nonconforming n = Equivalent single sampling size Ac = Single sample acceptance number 1' = Reference point showing performance at AQL for normal inspection IS 2500( Part 1 ): 2000 ISO 2859-1:1999 Table 9 -- Average sample size curves for single, double and multiple sampling (normal, tightened and reduced inspection) (conchded) Single n Average sample size 0,50 n . 0,50 n , Multiple 0,50 n. Multiple 0,2S n 0,25 n LL__Izz 0369121518 n oL_Es2! O51O152O2S x wOPortion nonconforming n Average sample size Single n Single n . Single 0,75 " Double o,75 n . Double 0,75 n , Double 0,50 n. Multiple 0,50 n. Multiple 0,50 n. Multiple 0,25 n 0,25 n 0,25 n o 0510 t. 15 20 25 30 1.. . Ac = 21 0 0 1. AC= 27 9 162736 0 0 d. AC=30 10203040 n x proportion nonumfordng Double n Average sample size 0,75 n . Double 0,75 n . Double Single n Single 0.60 n . Multiple 0,25 n 0,60 n , Multiple 0,2S n o[. ..17Flot 09 ie27s64654 oe F,. tF, 4554 le273e n x ProfxnUon normnforming n = Equivalent single sampling size Ac . Single sample acceptance number `r = Reference point showing performance at AQL for normal inspection 47 & 00 P lrm so 60 70 60 60 40 30 20 Table PercenI@M expecledrobe 1O-A -- Tables for sample size code letter A (Individual plans) (Curves for double and multiple sampling are matched as closely as practicable) Chart A Operating characteristic curves for single sampling plans accepred (PJ N o 0 0 10 0 IO0200W0400500 NOTE 600700600900 1000 1100 1200 1300 1400 1 50U 1 6W 1700 1600 19CKI 2000 Quality of submitted product @, in percent nonconforming for AQLss 10, in nonconformities per 100 items for AQLs > 10) Values on curves are Acceptance Qualify Limits (AOLs) for normal inspection. Table 1O-A-1 -- Tabulated values for operating characteristic curves for single sampling plans Acceptance 6,5 6,5 I 25 I Quality Limit, normal inspection (in percent nonconforming 40 I 65 1 100 I 150 p (in and nonconformifies IXI 400 per 100 items) lx] 650 lx] 1000 1X1 250 (in percent nonconforming) p nonconforrnities per 100 items) 175 235 272 342 433 540 650 722 870 250 239 308 351 431 533 651 770 648 1007 305 384 432 521 633 761 889 972 1141 400 374 462 515 612 733 870 1006 1094 1272 517 622 684 795 933 1087 1238 1335 1529 650 629 745 812 934 1063 1248 1409 1512 1718 859 995 1073 1214 1383 1568 1748 1862 2088 i 000 977 1122 1206 1354 1533 1728 1916 2035 2270 % 99,0 95,0 90,0 75,0 50,0 25,0 0,501 2,53 5,13 13,4 29,3 50,0 66,4 77,6 90,0 0,503 2,56 5,27 14,4 34,7 69,3 115 150 230 7,43 17,8 26,6 48,1 83,9 135 194 237 332 40 21,8 40,9 55,1 86,4 134 196 266 315 420 65 41,2 68,3 87,2 127 184 255 334 388 502 100 89,3 131 158 211 264 371 464 526 655 150 ~ 145 199 233 298 383 484 589 657 800 10,0 5,0 1,0 Acceptanc6 Qualify Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items) I NOTE 6inomialdistribution ueed for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformifies. Table 1O-A-2 -- Sampling plans for sample size code letter A Type of samp- Cumulative sample size 2 <6,5 6,5 ~ Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 :ems) 10 15 25 40 65 100 150 ~ 250 x 400 x ling plan 650 x 1000 Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Single Double -H Jol 1 2 2 3 34 56 78 89 10 11 12 13 14 15 18 19 21 22 27 28 30 31 dU* use use code letter c use code letter (*) (*) (*) (*) (*) (*) (*) (*) (*) (*) code letter D (*) r) (*) B Multiple u * * * <10 1~1 10 I 15 I 25 I 40 I 65 I 100 I 15o 1~1 250 Ixl 400 ]Xl 650 x 1000 ~ Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities per 10 items] u Ac Re = use next subsequent sample size code letter for which acceptance and rejection numbers are available = Acceptance number = Rejection number = use single sampling plan above (or alternatively use code letter O) r; = use singie aampfing (or alternatively use code letter B) 0 0 Table Wwlllafros 1O-B - Tables for sample size code letter B (Individual plans) ON @jrn qg WImAm LS @d w@ .. IO o 0 0 G?E Chart B Operating characteristic curves for single sampling plans (Curvesfor doubfe and multiple sampling are matched as closefy as practicable) -~~ w (PJ ma Sa Sa 7a Sa so 40 se 2a 10 c 100200300400500 6o070080rlgrXrl m 1 100 1200 1300 1400 1500 Iaoo 1700 1s00 1s0 2000 Quaiity of submitted product NOTE fp, in percent nOrIOOIIfO~irtg for AQLss 10, in nonconformities per 100 items for AQLs > 10) Vaiueson cuwea are Acceptance QualityLimits (AQLs)fornorrnai inspection. Table I&B-l -- Tabulated values for operating characteristic curves for single sampling plans per 100 items) 400 1~1 650 Acceptance Quahty Limit, normal inspeo60n (in percent nonconforming and nonconformities Pa 99,0 95,0 90,0 75,0 50,0 25,0 10,0 5,0 1,0 4,0 (in percent nonconforming) p 4,0 I 15 I 25 I 40 I 65 1 59,5 87,1 105 141 189 247 309 350 437 100 100 lx p 150 1~1 250 l=] b-a 1000 (in nonconformities per 100 items) 117 157 181 228 289 360 433 481 580 159 208 234 287 356 434 514 565 671 203 256 288 347 422 507 593 648 761 249 308 343 408 469 580 671 730 846 345 415 456 530 622 724 825 890 1019 419 496 541 623 722 832 939 1008 1145 572 663 716 809 922 1045 1165 1241 1392 851 748 804 903 1022 1152 1277 1356 1513 947 1065 1131 1249 1389 1539 1683 1773 1951 1029 1152 1222 1344 1489 1644 1793 1686 2069 0,334 1,70 3,45 9,14 20,6 37,0 53,6 63,2 78,5 6,5 0,335 1,71 3,51 9,59 23,1 46,2 76,6 99,9 154 6,5 4,95 11,8 17,7 32,0 55,9 69,6 130 158 221 25 14,5 27,3 36,7 57,6 89,1 131 177 210 260 40 27,4 45,5 58,2 84,5 122 170 223 256 335 65 86,9 133 144 199 256 323 392 438 533 Acceptance Quaiity Limit, tightened inspactfon (in percent nonconforming and nonconforrnifies per 100 items) NOTE Sinomiat distribution used for entries corrasprxhg to inspadon for nonconforming items, Poisson for inspection for number of nonconforrnities. Table 1O-B-2 -- Sampling plans for sample size code letter B %-..-.. ..s I ypu u! ssmpIing plan Single uulrlu0 . .. . . 1 Iative sample size < 4,~ Ac Re k 4,0 Acceptance Qua 6,5 x 10 ty Limit, normal inspection (in pera nt nonconforming and nonconformities per 100 items) 15 25 40 65 100 x 150 x 250 x 400 x 650 x 1 00( Re Ac Re Ac Re AC Re Ac Re Ac Re Ac fle Ac Re Ac Re Ac Re Ac Re Ac Re AC Re AC Fte AC Re AC f+e AC Re Ac Re Ac R( 12 23 34 56 76 69 10 11 12 13 14 15 18 19 21 22 27 26 3r) 31 41 42 44 4! 3 u 01 Double 2 4 u use code use code use code 02 12 03 34 13 45 25 67 36 47 59 6 10 7 11 9 14 11 16 1520 26 27 3435 1722 3738 23 29 253 52 53 56 ~ 9 10 10 11 12 13 15 16 16 19 2324 , letter letter letter D Muftiple u * ++ ++ ++ ++ ++ 6,5 6,5 1X1 , I I I 1 I I , n 1 10 15 25 40 65 100 I 150 250 I m 1X1 I r 1 1 1 650 1000 I u Ac `Re AcceptanceQuafityLimit,tightenedinspection (in percentnonconforming and nonconformities per 100 items) = use next subsequent samplesize code letter for which acceptance and rejection numbers are available = Acceptance number = Rejection nurkr = use single sampling plan above (or alternatively use code letter E) = use double sampfing plan above (or alternatively use code letter D) ++ ul N 0 100 90 80 70 80 50 40 30 h 10 0 Table 1O-C -- Tables for sample size code Ielter C (Individual plans) Pomnl d Iota Chart C Operating characteristic curves for single sampling plans (Curves for doubleand muftipla sampfing are matched as closely as practicable) 100 90 N Oxpecl@ ro be (PJ accepleai 80 70 60 50 40 30 20 10 0 50 100 150 200 250 300 Qusfity of submitted product @, in percent nonconforming for AQLss NOTE Values on curves are Acceptance o 0 0 100 200 300 400 504 600 10) 700 800 900 1000 1100 1200 10, in nonconfonnities par 100 items for AQLs, Quality Limits (AQLs) for normal inspection. Table 1O-C-1-- Tabulated values for operating characteristic curves for single sampling plans Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformitias per 100 items) Pa p 2,5 (in rcarrt !!!!ML noncof 10 I 15 I 25 I 40 I * x p 100 ~ 150 ~ 250 1~1 400 xl 650 (in nonconfonnities per 100 itams) 99,0 95,0 eo,o 75,0 50,0 25,0 10,0 5,0 1,0 0,201 1,02 2,09 5,59 12,9 24.2 36,9 45,1 60,2 4,0 3,27 7,64 11,2 19,4 31,4 45,4 58,4 65,7 0,201 1,03 2,11 5,75 13,9 27,7 46,1 59,9 92,1 2,97 7,11 10,6 19,2 33,6 53,9 77,6 84,9 133 6,72 16,4 22,0 34,5 53,5 78,4 106 126 168 25 16,5 27,3 34,9 50,7 73,4 102 134 155 201 40 3+ 35,7 58,1 70,1 93,9 108 137 95,4 123 52,3 63,0 84,4 113 79,8 93,1 119 153 194 173 213 148 216 2W 185 235 263 306 210 289 339 403 122 154 150 185 w I 356 I 403 456 % 4,0 * 15 Acceptance Qui f Limit, tightened inspection (in percent nonconforming and ncnconformities per 100 items) NOTE Binomial distribution used for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformitias. & & 249 273 318 298 325 374 398 449 482 542 613 639 679 691 733 429 485 553 627 749 0606 893 373 433 499 833 435 495 691 923 986 564 699 745 766 614 908 1010 1076 1131 1241 534 605 667 1064 1171 650 612 250 635 ~ 400 `/ F 207 251 391 566 618 IS 2500( [so 2859-1:1999 Pan 1 ) :2000 I c 53 or a o 70 60 50 40 30 20 10 0 Table Pmwntdlom 1O-D -- Tables for sample size code letter D (Individual plans) Chart D Operating characteristic curves for singie sampling plans (Curves fordoubleand multiple sampling are matchedes closelyes practicable) -~~ (PJ 100 90 so 100 90 60 70 60 50 40 30 20 10 0 100 200 300 120 140 160 lm 40 80 80 20 Or.rafity of submittedproduct (p, in percentnonconforming for AQL$ S 10, in noncorrformities par 100 items for AQLs > 10) 400 500 600 700 NOTE Values on curves are Acceptance Quality Limits (AQLa) for normal inspection. Table 1O-D-1 -- Tabulated vaiues for operating characteristic curves for single sampling plans (in percentnonconforming endnonconformities per 100items) Acc@ance QualityLimit,normalinspection Pa 93,0 %,0 90,0 75,0 50,0 26,0 10,0 5,0 1,0 1,5 I 6,5 I 10 l,516r5110115i25 0,126 0,841 1,32 3,60 6,66 17,3 26,8 37,4 57,6 1,86 4,44 6,65 12,0 21,0 33,7 48,6 59,3 83,0 5,45 10,2 13,8 21,6 33,4 49,0 86,5 78,7 106 10,3 17,1 21,8 31,7 45,9 83,9 83,5 98,9 126 22,3 32,7 39,4 52,7 70,9 92,8 116 131 164 I 40 36,3 49,8 58,2 74,5 95*9 121 147 164 [xl p ~ b -a (in nonconformities 59,6 77,1 87,8 108 133 163 193 212 76,2 98,1 108 130 158 190 222 243 100 ~ 93,5 116 129 153 183 217 252 274 129 156 171 199 233 272 309 334 150 l= 250 != ` 400 p (in percentnonconforming) 0,128 0,839 1,31 3,53 8,30 15,9 25,0 31,2 43,8 1,97 4,84 6,86 12,1 20,1 30,3 40,6 47,1 59,0 6,08 11,1 14,7 22,1 32,1 43,3 53,8 60,0 70,7 per 100 items) 157 186 203 234 271 312 352 378 215 249 268 303 346 392 437 465 244 281 301 339 383 432 479 509 355 399 424 468 521 577 631 665 386 432 458 504 558 617 672 707 43,8 58,7 67,9 85,5 108 135 162 180 200 218 252 285 318 382 429 522 568 732 776 2,5 10 2,5 10 15 25 40 Acceptance QualityLimit,tightenedinspection (in percent nonconforming and nonconformities per 100 items) NOTE Binomialdkstrlbution used for entries corresponding to inspection fornonconforming items, Poisson forinspection fornumberof nonconformities. Table IO-D-2 -- Sampling plans for sample size code letter D rypa of eampIing pfan Single CumuIative sample size 8 <1,5 1,5 2,5 Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) 15 25 4,0 6,5 10 40 x 65 100 250 x 400 > 40( 150 Ac Re Ac Re Ac Re Ac Re AC Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac R{ u 01 12 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 27 28 3031 41 42 4445 0 Doubfe 5 10 J use code use code use code 02 12 03 34 13 45 25 67 36 9 10 47 10 59 11 12 6 10 7 11 9 14 11 16 15 20 17 22 23 29 25 31 fl 13 15 16 18 19 23 24 26 27 34 35 37 38 52 53 56 57 letter letter letter . 2 4 Wdtiple 6 8 10 c F E #2 02 02 02 12 #2 03 03 13 34 #3 03 14 25 45 #4 15 26 47 67 04 16 38 59 04 27 49 6 05 38 6 11 9 06 39 10 7 17 4 12 8 18 10 6 29 12 7 3 10 4 12 6 15 6 16 l-l u * 14 10 17 11 19 1625 1727 13 11 17 13 19 17 24 19 27 28 35 29 38 2025 2627 2531 3435 2834 3738 3845 5253 4048 5857 12 11 15 12 17 1622 9 10 10 11 12 13 15 16 18 19 2324 <2,5 2,5 4,0 6,5 10 15 25 40 65 100 150 250 400 > 40( I t u Ac Re AcceptanceQualityLimit,tightenedinspection (in percentnonconforming and nonconformities per 100 items) = use next precedingsamplesize code letterfor whichacceptanceand rejectionnumbersare available = use next subsequentsample size code letterfor whichacceptanceand rejectionnumbersare available = Acceptancenumber = Rejectionnumber = use single sampling plan above (or alternatively use code letter G) = acceptance not permitted at this sample size o # Table 1O-E -- Tables for sample size code letter E (Individual plans) Wrxnrorw Iocpededklbe Chart E Operating characteristic curves for single sampling plans (Curvesfor double and multiple sampling are matched as closely as practicable) W@ed (PJ 100 90 60 70 60 50 40 30 20 10 0 10 NOTE 100 90 60 70 60 50 40 30 20 10 20 30 40 50 60 0 5b 100 150 200 250 300 350 400 450 500 Quafii of submitted product(p, in percent nonconforming forAQLs510, in nonmnformities Vafuee on cuwes are Acceptance Quality Limits (AQLs) for normal inspection. per 100 items for AQLs > 10) Table 1O-E-1 -- Tabulated values for operating characteristic curves for single sampling plans Acceptance Qualify Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) Pe 99,0 95,0 eo,o 75,0 50,0 25,0 10,0 5,0 1,0 1,0 I p 4,0 I 6,5 ] 10 1,0 I 4,0 I 6,5 I 10 ] 15 25~40~65 p ~ per 100 items) 46,9 59,2 66,5 80,2 97,4 117 137 150 176 57,5 71,1 79,2 94,1 113 134 155 168 196 79,6 95,7 105 122 144 167 190 205 235 100 ~ 150 b -a 219 246 261 288 321 355 388 409 450 250 (in percent nonconforming) 1,18 2,81 4,17 7,41 12,6 19,4 26,8 31,6 41,3 6,5 3,58 6,60 8,60 13,4 20,0 28,0 36,0 41,0 50,6 10 6,95 11,3 14,2 19,9 27,5 36,1 44,4 49,5 58,6 o,on3 0,395 0,810 2,21 5,33 10,7 17,7 23,0 35,4 1,5 Acceptance 1,14 2,73 4,09 7,39 12,9 20,7 29,9 36,5 51,1 6,5 3,35 6,29 8,48 13,3 20,6 30,2 40,9 46,4 64,7 10 6,33 10,5 13,4 19,5 28,2 39,3 51,4 59,6 7,3 15 13,7 20,1 24,2 32,5 43,6 57,1 71,3 80,9 101 25 22,4 30,6 35,8 45,6 59,0 74,5 80,5 101 123 (in nonconformities 27,0 36,1 41,8 52,6 66,7 83,1 100 111 134 36,7 47,5 54,0 66,3 62,1 100 119 130 155 0,0773 0,384 0.807 2,19 .5,19 10,1 16,2 20,6 29,8 1,5 96,7 115 125 144 167 192 217 233 264 132 153 165 "167 213 241 269 266 321 150 173 185 206 236 266 295 313 349 236 266 262 310 344 379 414 435 477 Qualify Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items) NOTE Binomial distribution usedfor entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformities. Table 10-E-2 --Sampling rype Of esmpIing plan plans forsample sizecode letter E CumuIative sample size 13 <1,() 1,0 1,5 AcceptanceQuafifyLimit,normalinspection (in percentnonconforming and nonconforrnifies per 100 items) 2,5 4,0 6,5 10 15 25 AC 40 Ffe AC Ffe AC 65 Re AC Re 100 AC Re AC Re 150 AC Re AC Re 250 AC Re > 25C AC f+~ Ac Re Ac Re Ac Re Ac Re AC Re AC Re Ac Re AC Re AC Re AC Re AC Re # 01 34 56 76 89 Single 12 23 10 11 12 13 14 15 18 19 21 22 2728 30 31 41 42 4445 f) Double 8 16 u use code use code use code 02 12 03 34 13 45 25 67 36 47 59 6 10 7 11 9 14 11 16 1520 2627 3435 1722 3738 2329 2531 fl 9 10 10 11 12 13 15 16 18 19 2324 52 53 5657 letter letter letter 3 6 WJltiple 9 12 15 u D G F #2 02 02 02 12 #2 03 03 13 34 #3 03 14 25 45 #4 15 26 47 67 04 16 38 59 04 27 49 05 38 06 39 17 18 29 3 10 4 12 6 15 6 16 1727 2938 40M 5657 t 4 10 6 12 7 14 10 17 11 19 1625 1927 2834 3738 2635 3845 5253 6 10 7 12 8 13 11 17 13 19 1724 2025 2627 2531 3435 6 11 9 12 11 15 12 17 1622 9 10 10 11 12 13 15 16 18 19 2324 <1,5 1,5 2,5 4,0 6,5 10 15 25 I u Ac Re = Acceptancenumber = Rejectionnumber Acceptance QualityLimit,tightenedinspection (in percentnonconforming and nonconformities per 100 items) 11 = use next precedingsamplesize code letterfor whichacceptanceand rejectionnumbersare available = use next subsequentsamplesize code letterfor whichacceptanceand rej~lon numbersare available m = use singlesamptingplan above (or alternatively use code letterH) = acceptancenot permittedat thissamplesize # Ur 00 n 100 w So 70 60 60 40 30 20 10 0 Table Pucantdlors 1O-F -- Tables for sample size code letter F (Individual plans) Chart F Operating characteristic curves for singie sampling plans (Curves for double and multiple sampling are matched as closely as practicable) @OlxUIrobe -~ (PJ 100 90 80 70 60 50 40 30 20 10 10 20 30 40 50 0 20 40 60 10) 60 100 120 140 160 Quality of subrrdttad product (p, in percent nonconforming for AQLs S 10, in nonconformities per 100 items for AQLs. NOTE Values on curves are Acceptance Quality Limits (AQLs) for normal inspection. Table 10-F-1 -- Tabulated vaiuea for operating characteristic curves for single sampling plans Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) Pa 99,0 95,0 90,0 75,0 50,0 26,0 10,0 5,0 1,0 0,65 ] p 2,5 I 4,0 I 6,5 I 10 I 0,65 I 2,5 I 4,0 ] 6,5 ] p 10 15 ]~1 25 per 100 items) 1~1 40 1~] 65 (in percent nonconforming) 0,759 1,81 2,69 4,81 8,25 12,9 16,1 21,6 28,9 4,0 2,27 4,22 5,64 8,70 13,1 18,7 24,5 28,3 35,6 6,5 4,36 7,14 9,02 12,8 18,1 24,2 30,4 34,4 42,1 10 9,75 14,0 16,6 21,6 27,9 34,8 41,5 45,6 53,2 0,0503 0,256 0,527 1,44 3,47 6,93 11,5 15,0 23,0 1,0 0,743 1,78 2,66 4,81 8,39 13,5 19,4 23,7 33,2 4,0 2,18 4,09 5,51 8,64 13,4 19,6 26,6 31,5 42,0 6,5 4,12 6,83 8,72 12,7 18,4 25,5 33,4 3S,8 50,2 10 (in noncmformities 14,5 19,9 23,3 29,8 38,3 48,4 56,9 65,7 80,0 ~ 0,0502 0,256 0,525 1,43 3,41 6,70 10,9 13,9 20,6 1,0 6,93 13,1 15,8 21,1 28,4 37,1 46,4 52,6 65,5 15 17,5 23,5 27,2 34,2 43,3 54,0 65,0 72,2 67,0 25 ~ 23,9 30,8 35,1 43,1 53,3 65,1 77,0 64,6 101 30,5 38,4 43,2 52,1 63,3 76,1 88,9 97,2 114 40 37,4 46,2 51,5 61,2 73,3 67,0 101 109 127 51,7 62,2 68,4 79,5 93,3 109 124 133 153 65 x 62,9 74,5 81,2 93,4 10s 125 141 151 172 Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities NOTE per 100 items) Binomial distribution used for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconforrnities. Table 1O-F-2 -- Sampling plans for sample size code letter F Type of eampIing plan Single CumuIative sample size 20 Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) < (),65 Ac Re u 0,65 Ac Re 01 1,0 Ac Re ~ Ac Re 1,5 Ac Re 2,5 Ac Re 12 4,0 Ac Re 23 6,5 Ac Re 34 10 Ac Re 56 15 Ac Re 78 ~ Ac Re 89 -25 Ac Re 10 11 ~ Ac Re 12 ?3 40 Ac Re 14 15 ~ AC Re 18 19 65 AC Re 21 22 >65 Ac Re t Double 13 26 lJ use code letter use code letter H use code letter G 02 12 03 34 13 45 25 67 36 9 10 47 10 11 59 12 13 6 10 7 11 9 14 11 16 2627 t 15 16 18 19 2324 5 10 Multiple 15 20 25 u E #2 02 02 02 12 #2 03 03 13 34 6,5 #3 03 14 25 45 10 #4 15 28 47 67 15 04 16 38 59 9 10 04 27 49 6'11 10 11 05 38 6 9 10 12 06 39 7 12 17 4 8 10 13 18 6 12 29 7 14 t 11 17 1622 2324 13 19 2025 2627 11 15 16 12 17 18 19 12 13 15 <1,0 1,0 ~ 1,5 2,5 4,0 I lf u AC Re Acceptance Quafii Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items) = use nerd preceding sample size code letter for which acceptance and rejection numbers are available = use next subsequent sample size code letter for which acceptance and rejection numbers are available = Acceptance number = Rejection number = use single sampling plan above (or alternatively use code letter J) = acceptance not p&mitted at this sample size # G) 100 90 80 70 80 50 40 30 20 10 0 Table Percanror ma expscledto tm atipred (PJ 1O-G -- Tables for sample size code letter G (Individual plans) Chart G Operating characteristic curves for single sampiing plans (Curves for double and multiple sampling are matched as closely as practicable) ~g on L~ :a ZG ON ~ul 100 90 80 70 60 50 40 30 20 10 5 NOTE 10 15 20 25 30 35 40 0 20 40 60 80 100 Qeoco.. M 8 Quality of submitted product (p, in percent nonconforming for AQLs S 10, in nonconformities Values on curves are Acceptance Quality Limits (AQLs) for normal inspection. per 100 items for AQLs > 10) Table 1O-G-1 Tabulated values for operating characteristic curves for single sampling Acceptance Quality Limit, normal inspection (in percent nonconforming plans and nonconformt!es 10 1~1 per 100 items) 15 1~] 25 1~] 40 Pa 99,0 95,0 90,0 75,0 50,0 25,0 10,0 5,0 1,0 0,40 1,5 p I 2,5 I 4,0 I 6,5 10 0,40 1,5 2,5 4,0 6,5 (in percent nonconforming) 1,40 2,60 3,49 5,42 8,27 11,9 15,8 18,4 23,8 4,0 2,67 4,38 5,56 7,98 11,4 15,4 19,7 22,5 28,1 6,5 5,88 8,50 10,2 13,4 17,5 22,3 27,1 30,1 36,0 10 9,73 13,1 15,1 19,0 23,7 29,0 34,0 37,2 43,2 0,0314 0,160 0,329 0,899 2,17 4,33 7,20 9,36 14,4 0,65 0,464 1,11 1,66 3,00 5,24 8,41 12,2 14,8 20,7 2,5 1,36 2,56 3,44 5,40 8,36 12,3 16,6 19,7 26,3 4,0 2,57 4,27 5,45 7,92 11,5 16,0 20,9 24,2 31,4 6,5 p (in nonconformities 5,58 8,17 9,85 13,2 17,7 23,2 29,0 32,9 41,0 10 ~ 9,08 ?2,4 14,6 18,6 24,0 30,3 36,8 41,1 50,0 per 100 items) 11,0 14,7 17,0 21,4 27,1 33,8 40,6 45,1 54,4 15 ~ 14,9 19,3 21,9 26,9 33,3 40,7 48,1 53,0 63,0 19,1 24,0 27,0 32,6 39,6 47,6 55,6 60,8 71,3 25 ~ 23,4 28,9 32,2 38,2 45,8 54,4 62,9 68,4 79,5 32,3 38,9 42,7 49,7 58,3 67,9 77.4 83,4 95,6 40 ~ 39,3 46,5 50,8 58,4 67,7 78,0 88,1 94,5 107 0,0314 0,160 0,329 0,895 2,14 4,24 6,94 8,94 13,4 0,65 0,471 1,12 1,67 3,01 5,19 8,19 11,6 14,0 19,0 2,5 Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities NOTE Binomial distribution used for entries corresponding to inspection for nonconforming per 100 items) items, Poisson for inspection for number of nonconformities. Table 1O-G-2 -- Sampling plans for sample size code letter G Type Of aampfing pten Single CumuIatfve sample size 32 < (),40 Ac Re J (),4() Ac Re 01 Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) 0,65 AC Re AC Re 1,0 AC Re 1,5 AC Re 2,5 Ac Re 4,0 AC Re 6,5 AC Re 10 AC Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re 12 23 34 56 78 89 lf) 11 12 13 14 15 18 19 21 22 0 Double 20 40 # use code latter use code letter J use code letter H 02 12 03 34 13 45 25 67 36 9 10 47 10 59 11 12 6 13 15 10 7 11 9 14 11 24 26 16 27 fi 16 18 19 23 8 16 Multiple 24 32 40 u F #2 02 02 02 12 #2 03 03 13 34 4,() #3 03 14 25 45 6,5 #4 15 26 47 67 10 134 16 38 59 9 04 27 49 6 11 05 38 6 9 10 06 39 7 12 17 4 6 10 18 6 12 29 7 14 19 25 27 fl 13 11 17 13 12 11 13 15 15 12 16 18 17 16 22 20 19 23 24 26 10 10 11 12 <0,65 0,65 1,0 1,5 2,5 Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconforrnities per 100 items) t u Ac Re = use next precedingsample size code letterforwhichacceptanceand rejectionnumbersare available = use next subsequentsample size code letter for which acceptance and rejection numbers are available = Acceptance number = Rejection number = use single sampfing plan above (or alternatively use code letter K) = acceptance not permitted at this sample size n # a N Z5iz z Table 1O-H -- Tables for sample size code letter H (Individual plans) Chart H Operating characteristic curves for single sampling plans (Curves for doubfe and muftiple eempfing are matched as closely as practicable) ON ~ul an L~ Pelwrird* -~~ acaptml (PJ ~o ~o :2 Wd wa.. g 5 NOTE 10 15 20 25 30 35 40 45 10) 50 55 60 65 per 100 items for AQLs, QuaMy of submitted product (p, in percent nonconforming for AQLsS 10, in nonconformities Vefuee on curves are Acceptance Quality Limits (AQLs) for normal inspection. Table 1O-H-1 -- Tabulated values for oparating characteristic curves for single sampling plans -n~ QuMty ~mt nom 6,5 10 insption @ percentnonconforming andnonconforrnities per 100items) 0,25 1,0 Pa 0,25 1,0 1,5 p 2,5 4,0 1,5 0,872 1,64 2,20 3,45 5,35 7,84 10,6 12,6 16,6 2,5 2,5 4,0 I 6,5 ]~1 10 ]~1 15 1~1 25 (in percent nonconforming) 1,68 2,78 3,53 5,10 7,29 10,0 12,9 14,8 18,7 4,0 3,69 5,36 6,43 8,51 11,3 14,5 17,8 19,9 24,2 6,07 8,22 9,54 12,0 15,2 18,8 22,4 24,7 29,2 7,36 9,72 11,2 13,8 17,2 21,0 24,7 27,0 31,6 10,1 12,9 14,5 17,5 21,2 25,2 29,1 31,6 36,3 0,0201 0,103 0,211 0,575 1,39 2,77 4,61 5,99 9,21 0840 0,297 0,711 1,06 1,92 3,36 5,39 7,76 9,49 13,3 1,5 1,65 2,73 3,49 5,07 7,34 10,2 13,4 15,5 20,1 4,0 p (in nonconfomnities par 100 items) 3,57 5,23 6,30 8,44 11,3 14,8 18,5 21,0 26,2 6,5 ~ 5,81 7,96 9,31 11,9 15,3 19,4 23,5 26,3 32,0 7,01 9,39 10,9 13,7 17,3 21,6 26,0 28,9 34,8 10 ~ 9,54 12,3 14,0 17,2 21,3 26,0 30,8 33,9 40,3 12,2 15.4 17,3 20,8 25,3 30,4 35,6 36,9 45,6 15 ~ 15,0 18,5 20,6 24,5 29,3 34,8 40,3 43,8 50,9 20,7 24,9 27,3 31,8 37,3 43,5 49,5 53,4 61,2 25 ~ 25,1 29,8 32,5 37,4 43,3 49,9 56,4 60,5 68,7 89,0 0,0201 95,0 90,0 75,0 50,0 25,0 10,0 5,0 1,0 0,103 0,210 0,574 1,38 2,73 4,50 5,82 8,80 0,40 0,300 0,715 1,07 1,92 3,33 5,29 7,56 9,14 12,6 1,5 0,886 1,66 2,22 3,46 5,31 7,69 10,3 12,1 15,8 2,5 Acceptance Quality Limit, tightened inspection (in percent nonconfomning and nonconformities NOTE Sinomial distribution used for entries corresponding to inspection for nonconforming per 100 items) items, Poisson for inspection for number of nonconformities. Table 1O-H-2 -- Sampling plans for sample size code letter H Type of sampIing plan Single CumuIative sample size 60 <0,25 Ac Re u 0,25 Ac Re 01 Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) 0,40 Ac Re Ac Re 0,65 Ac Re 1,0 Ac Re 12 1,5 Ac Re 23 2,5 Ac Re 34 4,0 Ac Re 56 6,5 Ac Re 78 ~ Ac Re 89 10 Ac Re 10 ~ Ac Re 15 Ac Re x Ac Re 25 Ac Re 22 >25 Ac Re l-i 11 12 13 14 15 18 19 21 Double 32 64 u use code letter use code letter K use code letter J 02 12 03 34 13 45 25 67 36 9 47 10 10 59 11 12 6 13 15 10 7 11 9 14 11 16 27 t 16 18 19 23 24 26 13 26 Multiple 39 52 65 u G #2 02 02 02 12 #2 03 03 13 34 #3 03 14 25 45 #4 15 26 47 67 04 16 38 59 9 04 27 49 6 10 10 11 05 38 6 9 10 06 39 7 12 17 4 8 10 18 6 12 29 7 14 19 25 27 1? 13 11 17 13 12 11 13 15 15 12 16 18 17 16 22 20 19 23 24 26 11 12 <0,40 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10 15 25 >25 I t u Ac Re Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items) = use next preceding sample size code letter for which acceptance and rejection numbers are available = use next subsequent sample size code letter for which acceptance and rejection numbers are available = Acceptance number = Rejection number = use single sampling plan above (or alternatively use code letter L) = acceptancenot permittedat ths samplesize # * Perssntd - Table 1O-J -- Tables for sample size code letter J (Individual plans) Chart J Operating characteristic curves for single sampling plans (Curvesfor double and multiple sampling are matched as closely es practicable) (PJ -~~ a NOTE product (p, in percent nonconforming for AQLs 510, in nonconformifies per 100 items for AQLs > 10) Quallty of submitted ValueS on curves are Acceptance Qualify Limits (AQLs) for normal inspection. Table 1W-1 -- Tabulated values for operating characteristic curves for single esmpfing plans Acceptance P, p Quality Limit, normalinspection (in percent nonconforming and nonconforrnities per 100 items) (in percent nonconforming) 1,04 1#73 2,20 3,18 4,57 6,30 8,16 9,41 12,0 2,5 2,28 3,32 3,99 5,30 7,06 9,14 11,3 12,7 15,6 4,0 Acceptance QuaIii 3,73 5,07 5,91 7,50 9,55 11,9 14,3 15,8 18,9 4,51 6,00 6.90 8,61 10,8 13,3 15,7 17,3 20,5 6,17 7,91 8,95 10,9 13,3 16,0 18,6 20,3 23,6 7,93 9,69 11?0 13,2 15,8 18,6 21,4 23,2 26,6 9,76 11,9 13.2 15,5 18,3 21,3 24,2 26,0 29,5 0,0126 0,0641 0,132 0,360 0,866 1,73 2,86 3,74 5,76 0,25 0,1 W 0,444 ov665 1,20 2,10 3,37 4,86 5,93 8,30 1,0 0.545 1,02 1,38 2,16 3,34 4,90 6,65 7,67 10,5 1,5 p (in nonconformities per 100 items) 88,0 95,0 80,0 75,0 60,0 25,0 10,0 5,0 1,0 0,0126 0,0641 0,132 0,359 0,863 1,72 2,64 3,6s 5,59 0,25 0,187 0,448 0,667 1,20 2,08 3,33 4,78 5,79 8,01 1,0 0,550 1,03 1,38 2,16 3,33 4,84 6,52 7,66 10,1 1,5 1,03 1,71 2,18 3,17 4,59 6,39 8,36 9,69 12,6 2,5 2.23 3,27 3$4 5,27 7,09 9,28 11,6 13,1 16,4 4,0 3,63 4,96 5,82 7,45 9,59 12,1 14,7 16,4 20,0 4.36 5,87 6,79 8,55 10,8 13,5 16,2 18,0 21,8 5,96 7,71 8,78 10,8 13,3 16,3 19,3 21,2 25,2 7,62 9,61 1o16 13,0 15,8 19,0 22,2 24,3 26,5 9*35 11,6 12,9 15,3 18,3 21,7 25,2 27,4 31,8 12,9 15,6 17,1 19,9 23,3 27,2 30,9 33,4 38,2 15,7 18,6 20,3 23,4 27,1 31,2 35,2 37,8 42,9 . Limit, tightened inspacticm (in percent nonconforming and nonconformities per 100 items) for number of nonconformities. NOTE Binomial distribution usedforentriescorresponding to inspection fornonconforming items, Poisson for ins~lon Table 10-J-2 -- Sampling plans for sample size code letter J Type of CumuIetiie sample < (),15 size 80 AcceptancaQualityLimit,normalinspection (in percentnonconforming and nonconformities per 1001tems) (),15 0,25 0,40 0,65 AC ling plan single 1,0 Re AC 1,5 ne 2,5 AC Re 4,0 AC Re ~ Ac Re 6,5 Ac Ffe ~ Ac Re Ac 10 R8 ~ AC Re Ac 15 Re >15 Ac Re Ac Re u Ac Re. Ac Re ACRe Ac Re Ac Re 01 12 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 fi Doubfe 50 100 J * use code letter use code letter L use code letter K 02 12 03 34 13 45 25 67 36 9 10 47 59 6 13 15 10 7 11 9 14 11 16 27 fl 10 11 12 16 18 19 23 24 26 20 40 H u #2 02 #2 03 #3 03 #4 15 26 47 67 04 16 38 59 9 04 27 49 6 10 10 11 05 38 6 9 10 06 39 7 12 17 4 8 10 13 18 6 11 12 29 7 14 19 25 27 fi Multiple 60 80 02 02 12 03 13 34 14 25 45 17 13 12 11 13 15 15 12 16 18 17 16 22 20 19 23 24 26 100 <0,25 11 12 0,25 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10 15 >15 Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconforrnities per 100 items) II u Ac Re = use next precedingsamplesize code letterforwhichacceptanceand rejectionnumbersare available = use next subsequent sample size code letter for which acceptance and rejection numbers are available = Acceptance number = Rejection number = use single sampling plan above (or alternatively use code letter M) = acceptance not permitted at this sample size # .s M al x Table 1O-K -- Tables for sample size code letter K (Individual plans) ON ~ur 88 ~Lm :s !#= . . N 8 55 Palcw40trote @spadalttoba 100 90 80 70 so 50 40 30 20 10 0 1,0 2,0 3,0 4,0 Chart K Oparating characteristic curves for single sampllng plans (Curves fordoubleand multiple sampling are matched es closely se practicable) 100 90 60 70 60 50 40 30 20 10 0 5,0 6,0 7.0 5 10 15 20 25 VJ OuaJity of submitted product in percent nonconforming or in nonconformities par 100 items NOTE values on cufveeare AcceptanmQualityLdta (AQLs)fornormalinspection. Table I&K-l -- Tabulatedvaluesfor operatingcharacteristic curves for single sampling plans I Pa 9s,0 65,0 90,0 75,0 60,0 AccapWm OuaIityLimit, Mrrnal inapactii (i percent nonconformingend rwncwrtonnitiea pr 100 items) I [ 0,10 0,40 0,66 1,0 1,5 2,5 4,0 6,5 10 0,10 p(inparcentl o,oOso4 0,119 0,0410 0,0643 0,230 0,553 1.10 0,2s6 0,425 0,351 0,6s7 0,663 0,664 I 1,45 I 2,36 nconforming) 2,s6 3,el 3,s0 5,01 5,69 6,64 6,51 I 5,00 6,26 7,01 S,39 10,1 6,15 I S,S5 7,54 8,37 9,68 11,7 10,2 10,4 12,2 13,3 15,1 17,3 19,6 21,9 23,3 26,0 0,00604 I I 0,119 0,349 P (innonccdormifie.s per 100 items) 1,43 2,0e 2,52 3,3s 4,54 S,94 7,42 6,41 10,5 2,5 J 2,32 3,16 3,72 4,76 6,14 7,75 9,42 10,5 12,6 0,659 1,09 1,40 2,03 2,94 4,09 5.34 6,20 6,04 1,5 0,0410 0,0s43 0230 0,55s 1,11 1,s4 2,40 3,ss 0,15 0,264 0,6s4 II 2,81 3,76 3,S2 4,e4 5,62 6,90 6,53 10,4 12,3 13,6 16,1 4,6S 6,15 6,92 6,34 10,1 12,2 14,2 15,6 16,3" I 5,96 7,40 6,24 9,79 11,7 13,9 16,1 17,5 20,4 8,2S 9,95 10,9 12,7 14.9 17,4 19,6 21.4 24,5 I 10,1 11,9 13,0 14,9 17,3 20,0 22,5 24,2 2:,5 1,40 2,03 2,54 3,39 3,76 4,79 4,39 5,S0 I 11,1 12,s 14,9 0,425 0,769 1,34 2,15 3,11 3,s0 5,31 0,65 0,ss2 1,38 2,14 3,14 4,26 5,M 6,72 1,0 4,35 5,47 6,94 6,84 10,4 11,5 13,9 I 0,769 1,34 2,14 3,0s 3,74 1,36 2,13 - 2s,0 10,0 5,0 1,0 I I 2.S3 I 4,52 I 6,12 -t--t 6,62 - 3,11 4,20 4,e6 6,55 1,0 13,7 I 17,1 I I + 1,63 2,37 * 6,0S I 6,23 I 10,3 11,3 13.4 15,7 19,3 20,6 I * Accaptanm Ouafity Limit, fightenad inapaction fin percant nonconformingand nonmnformities per 100 items) ElxE II 13,2 15,5 15,1 17,5 17,0 19,4 23,2 NOTE Binomial distribution usedforentriescorresponding to inspacth fornonconforming items,Poisson forinepetilonfor number of nonconformities. Table IO-K-2 -- SsmpIing plans for sample size code letter K G Sarnp fing % Iative Sampl( size 125 Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) <0,1 Ac R 0,15 Ac RI 0,25 plan Ac R[ Ac Rs 0,40 LAc R< 12 0,85 1,0 Ac RS 34 56 2,5 Ac RI Ac R( x Ac Re 89 47 r 10 59 4,0 x 12 8 Ac Re 1 -xx 1: 1( 1[ 6,5 x Ac Re 19 21 10 Ac RC z Ac Re single Doubk u u o" 14 15 18 60 160 use use use code 02 12 03 34 13 45 25 67 3f 9 1( 7 18 11 9 14 11 1( 27 10 1" 12 1: 15 19 23 24 28 letter 32 64 letter M L #2 02 02 02 12 #2 03 D3 13 34 #3 03 14 25 45 #4 15 26 47 67 04 16 38 59 9 10 u J 04 27 49 6 11 05 38 6 9 10 12 06 39 7 12 17 4 8 10 13 18 6 12 29 7 14 19 Mtipfe 96 128 160 11 17 13 11 15 12 17 16222 0 25 10 11 12 13 15 16 18 19 ?3 24 26 27 <0,15 I 0,15 t 4.0 6,5 10 x z d AcceptanceQualityLimit,tightened inspection (in percent nonconforming and nonconfomties per 100 items) ~ 0,25 D,40 0.65 1,0 1,5 2,5 >10 11 = use next preceding sample size code letter for which acceptance and rejection numbers are available u Ac Re = use next subsequent Sample size code letter for which acceptance and rejection numbers are available = Acc@ance number = Rejection number = use singlesamplingplan above (or alternative~use code letterN) # = acceptancedot permittedat thissamplesize u) ao Table 1O-L -- Tables for sample size code letter L (Individual plans) m Permmiel lots em=ted robe acc+ted (PJ Chart L Operating characteristic curves for single sampting plans (Curves for doubfe and multiple sampling are malchad as closely 8s practicable) NOTE Quafity of submitted product in percent nonconforming or in nonconformities per 100 item Values on curves are Acceptance Quality Limits (AC2LS)for normal inspection. Table If)-L-l -- Tabulated values for operating characteristic curves for single sampling planS Acceptance Quahty Limit, normal inspection (in percent nonmnforming and nonconformitiasper 100 !teme) Pa 00= I 0,25 0,40 0,66 1,0 1,5 2,5 4,0 6,5 1 0,065 I 0,25 0,40 0,65 p 1,0 1,5 2,5 4,0 6,5 I 89,0 rJ (in marcent nonconforming) osro503 0,0256 0,0527 0.144 0,346 0,691 1,14 0,074 0,178 0,266 o,4el 0,636 1,34 1,93 (in nonconformities per 100 items) 1,76 2,35 2,72 3,42 4,33 5.40 6,50 7,22 8,70 95,0 80,0 I 0,219 0,410 0,414 0,668 0,875 1,27 1,63 2,64 3,31 O,eoo 1,31 1,56 2,11 2,63 3,69 4,59 1,47 2,01 2,34 2,99 3,63 4,81 5,82 0,552 0,864 1,33 "1,95 2,64 I 1,77 2,42 3,11 3,54 4,33 5,33 6,46 7,60 3,10 3,e9 4,36 5,23 6,32 7,55 8,76 3,80 4,66 5,2a 6,15 7,32 6,63 9,91 10,7 12,4 5,2e 6,31 6,91 8,00 9,32 10,6 12,2 13,1 14,8 6,43 7,57 6,22 9,40 10,6 12,4 13,8 14,8 16,6 0,00503 0,074 0,0256 0,0527 0,144 0,347 0,693 1,15 1,50 2,30 0,218 0,412 0,663 0,672 1,27 0,693 1,31 1,58 2,11 1,45 1,99 2,33 2,96 3,63 4,84 5,69 6,57 8,00 2,39 3,08 3,51 4,31 5,33 6,51 7,70 0,4s 10,1 3,05 3,64 4,32 5,21 6,33 7,61 6,69 9,72 11,4 3,74 4,62 5,15 6,12 7,33 6,70 10,1 10,9 12,7 5,17 6,22 6,64 7,85 9,33 10,9 12,4 13,3 15,3 6,29 7,45 6,12 9,34 10,6 12,5 14,1 15,1 17,2 2,37 0,176 0,409 0,266 0,551 0,461 0,639 1,35 1,94 2,37 3,32 2,73 75,0 50,0 25,0 10,0 5,0 1,0 3,43 4,33 5,36 6,42 0,864 1,34 1,84 2,64 1,96 2,66 3,15 4,20 2,55 3,34 3,88 5,02 3,71 4,64 6,26 6,55 I 1,49 2,28 0,10 I 2,35 ] 3,11 I 3,63 I 5,18 I 6,47 I 7,10 I 8,33 I 9S4 3,27 0,40 4,14 0,65 4,93 1,0 6,42 1,5 7,82 6,50 9,82 11,1 I NOTE A.%eptanca Quality Limit, tlghtenad mspaction (in percent nonconformingand nonconlonnities lwr 100 items) 1 Binomial distribution used for entries corresponding to inspection fornonconforming items,Poisson forinspection for number of nonconformities. Table 1O-L-2 -- Sampling plans for sample size code letter L Type of sempIing plan CumuIative sample size <0,085 Ac Re 0,065 (in percent nonconforming and nonconformities per 100 items) AcceptanceQualiiyLimit,normalinspection 0,10 ~ 0,15 0,25 0,40 0,65 1,0 1,5 ~ 2,5 ~ 4,0 ~ 6,5 >6,5 Ac Re 01 Ac Fte Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re 12 23 34 56 76 89 10 11 12 13 14 15 18 19 21 22 t Single 200 u Doubfe 125 250 u " use coda letter use code letter N use code letter M 02 12 03 34 13 45 25 67 36 9 47 10 10 59 11 12 6 13 15 10 7 11 9 14 11 24 26 16 27 ~ 16 18 19 23 50 100 Multfpfa 150 200 250 u K #2 02 02 02 12 #2 03 03 13 34 0,65 #3 03 14 25 45 1,0 #4 15 26 47 67 1*5 04 16 38 59 9 10 04 27 49 6 10 11 05 38 6 9 10 12 06 39 7 12 17 4 8 10 13 18 6 11 12 29 7 14 19 25 27 t 17 13 11 15 12 16 18 17 16 22 20 19 23 24 26 11 12 13 15 <0,10 0,10 0,15 0,25 0,40 2,5 4,0 6,5 >6,5 I t u Ac Re AcceptanceQuaIii Limit,tightenedinspection (in percent nonconforming and nonconformities per 100 items) = use next precedingsample size code letter for which acceptance and rejection numbers are available = use next subsequent sample size code letter for which acceptance and rejection numbers are available = Acceptance number = Rejection number = use aingfe eampfing plan above (or alternatively use code letter P) . acceptke nd permitted et thii sample size # -4 0 = Pemantdtots Table ~to~ ~ (PJ 1O-M -- Tables for sample size code letter M (Individual plans) giz M ~o rs ~m .. m .a QA @a.. g Chart M Operating characteristic cuwee for singie sampiing pians and multiple sampling are matchedas closelyas practicable) (Curves fordouble ~fn @o 1,0 NOTE 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0 @sfW of ~brnitied Prod@ in percent nonconforming or in nonconformities per 100 items Values on ctmes are Acceptance QuaMy Limits (AQLs) for normal insptilon. Table I&M-l Pa 2$*O 25*O eo,o 76,0 50,0 25,0 10,0 5,0 1,0 -- Tabuiated vaiues for operating characteristic curves for single sampiing pians Quaiii Acceptance Limit, normal inapactkm (in percent noncwrforming and nonconformitiea per 100 items) 2,5 4,0 O,wo I 0,15 0,25 0,40 p o.~ 0,00319 0,0163 0,0334 0,0913 0,220 0,439 0,728 0,s47 1,45 0,065 [ 0,15 0,047 0,113 0,169 0,305 0,632 0,853 1,23 1,EO 2,0s 0,25 0,26 0,139 0,260 0,350 0,649 0,648 1,24 1,68 1,99 2,64 0,40 0,40 p 0,65 0,570 0,$33 1,W 1,34 l,M 2,35 2,92 3,31 4,11 1,0 1,0 0,929 1,27 1,48 1,89 2,43 3,06 3,71 4,13 5,01 1,12 1,50 1,73 2,17 2,75 3,41 4,08 4,54 5,44 1,5 1,53 1,97 2,24 2,74 3,3s 4,11 4,85 6,33 6,29 1,g5 2,48 2,76 3,32 4,02 4,81 5,59 6,10 7,12 0,65 1,0 1,5 2,5 4,0 (in percent nonconforming) 2,40 2,98 3,29 3,90 4,65 5,49 633 6,86 7,93 3,33 3,99 4,37 5,07 5,92 6,86 7,77 8,36 9,51 4,05, 4,78 5,20 5,95 6,87 7,87 6,S4 9,46 10,7 0,o11319 0,047 0,0163 0,0334 0,0913 0,220 0,440 0,731 0,951 1,46 0,113 0,169 0,305 0,533 0,855 1,23 1,51 2,11 0,138 0,280 0,350 0,548 0,s49 1,24 1,69 2,00 2,67 (in nonconforrnities per 100 items) 0,567 0,830 1,00 1,34 1,s0 2,36 2,94 3,34 4,16 0,923 1,26 1,48 1,89 2,43 3,07 3,74 4,17 5,08 1,11 1,49 1,72 2,17 2,75 3,43 4,13 4,58 5,52 1,51 1,96 2,23 2,74 3,39 4,13 4,69 5,38 6,40 1,94 2,44 2,74 3,31 4,02 4,83 5,64 6,17 7,24 2,37 2,94 3,27 3,69 4,66 5,52 6,39 6,95 8,06 3,28 3,95 4,34 5,05 5,93 6,90 7,86 8,47 9,71 3,99 4,73 5,16 5,93 6,S8 7,92 8,95 9,60 10,9 0,262 0,435 o,55g 0,s05 1,16 1,62 2,11 2,44 3,15 O,= 0,261 0,434 0,554 0,805 1,17 1,62 2,12 2,46 3,19 Acceptance Quality Limit, tightened inspactkm (in percent nonconforming and nonconformities per 100 items) NOTE Binomial distribution used forentriescorresponding to inspection fornonconforming items,Poissonforinspection fornumberof nonconformifies. Table 1O-M-2 -- Sampling plans for sample size code letter M Type of sampIing plan CumuIative sample size <0,040 Ac Re u 0,040 Ac Re 01 Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) 0,065 Ac Re ~ Ac Re 0,10 Ac Re 0,15 Ac Re 12 0,25 Ac Re 23 0,40 Ac Re 34 0,65 Ac Re 56 1,0 Ac Re 78 ~ Ac Re 89 1,5 Ac Re 10 ~ Ac Re 2,5 Ac Re ~ Ac Re 4,0 Ac <4,0 IIC Re Re Single 315 11 12 13 14 15 18 19 21 22 fl Double 200 400 u use code letter use code letter p use code 02 12 03 34 13 45 25 67 36 9 10 47 59 6 13 15 10 7 11 9 14 11 16 27 l? 10 11 12 16 18 19 23 24 26 letter N #2 02 02 02 12 #2 03 03 13 34 #3 03 14 25 45 #4 15 26 47 67 04 16 38 59 9 04 27 49 6 11 05 38 6 9 10 06 39 7 12 17 4 8 10 13 18 6 11 12 29 7 14 19 25 27 fl 80 160 Multiple 240 320 400 u L 17 13 12 11 13 15 15 12 16 18 17 16 22 20 19 23 24 26 10 10 11 12 <0,065 0,065 ~ 0,10 0,15 0,25 0,40 0,65 1,0 ~ 1,5 2,5 4,0 >4,0 I t $ Ac Re * # Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconforrnities per 100 items) = use next preceding sample size code letter for which acceptance and rejection numbers are available = use next subsequent sample size code letter for which acceptance and rejection numbers are available = Acceptance number = Rejection number = use single sampling plan above (or alternatively use code letter Q) = acceptance not permitted at this sample size id z 100 so 80 70 60 50 40 w 20 10 0 Table Fercemdfm 1O-N -- Tables for sample size code letter N (Individual plans) Chart N Operating characteristic curves for single sampling plans (Curves for double and multiple sampling are matchedas closely as practicable) -~~ q (PJ N o 0 0 0,5 1,0 1,5 2,0 2,5 3,0 3,5 4,0 4,5 5,0 5,5 6,0 6,5 Qu@ity of submitted product in percent nonconforming or in nonconformities per 100 items NOTE Valueson ourvesare Acceptanos QuahfyUmits(AQLs)fornormalinspection. Table 10-N-1-- Tabulatedvalueafor operetlngcharacteristiccurvesfor single sampling plans Pa S8,0 30,0 75,0 80,0 I S5,0 I 1= 0,00201 0,0103 0,0211 0,0575 0,139 0,277 0,459 I 0,5s7 0,917 0,040 Accaptanoe Ouality Limit, normal in wotion (in percent normnfcwrning and nonconformities pa 100 items) 0,15 2,5 I 0,025 0,10 0,15 0,25 0.40 3 1.0 0,025 0,10 p (in peroent nonconforming) 0.706 0,942 1,09 1,37 1,73 2,15 2,59 2,87 3845 0,959 1,24 1,41 1,73 2,13 2,60 3,06 3,37 3,99 1,23 1,54 1,74 2,09 2,53 3,03 3,54 3,S6 4,51 1,51 1,86 2,07 2,45 2,93 3,47 4,00 4,34 5,03 2,75 3,19 3,73 4,33 4,92 3,26 3,75 433 4,97 5,60 0,0211 0,0575 0,139 0,277 0,461 0,106 0,192 0,336 0,539 0,776 0,220 0,345 0,535 0,764 1,06 0,349 0,507 0,734 1,02 1,34 0,630 0,s44 1,13 1,4s 1,85 0,164 0,274 0,349 0,507 0,734 1,02 1,33 1,54 1,99 0,40 0,524 0,632 0,s45 1,13 1,48 1,s5 2,09 2,50 0,65 o,7e9 o,e33 1,19 1,53 1,83 2,34 2,61 3Bj7 ?formities par I00 its + 0,796 I 0,939 0,931 I 1,09 1,19 I 1.37 1,53 I 1,73 1,94 2,16 2,60 3,39 4,03 z 0,03 0,087 O,tea 0,368 0,564 0,s54 1,23 1,40 1,72 2,13 0,071 0,106 0,192 h1,22 1,54 2,08 2,53 3,04 3,56 1,50 2,07 2,49 2,73 4 2,5 2,51 2,9s 3,25 t 0,335 0,534 0,7s3 1,08 0,s45 1,25 1,67 0,26 25,0 I 2,45 2,93 3,1s 3,73 4,35 4,95 5,34 6.12 2,5 3,48 4,03 4,3s 5,09 1 3,74 4,33 4,99 5,64 6,05 8,67 +10,0 5,0 1,0 + 2,35 3,20 5,29 ] 5,SS I 0,53S I 0,949 I 1,26 I 1,55 I 2,10 6,04 2,5 2,63 I 2,89 3,48 1,0 1,32 0,15 t 3,89 4,56 1,5 + * L I Acceptance QuaIii Limit, tightaned inspection (in percent nonconforming and nonconformities per 100 items) & NOTE Binomial distribution used for entries corresponding to insptilon for nonconforming items, Poisson for inspection for number of nonconformities. d I Table 1O-N-2 -- Sampling plans for sample size code letter N Type of Semp Iing plan Single Cumu- Iative sample size 500 <0,025 Ac Re J 0,025 Ac Re 01 Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) (),040 ~ Ac Re Ac Re 0,065 Ac Re (),1() Ac Re 12 0,15 AC Re 0,25 AC Re 0,40 AC Re 0,65 AC Re ~ AC Re 1,0 AC Re ~ AC Re 1,5 AC Re AC Re 2,5 AC Re >2,5 AC Re 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 n Double 315 630 u use code letter use code letter Q use code letter p 02 12 03 34 13 45 25 67 36 9 47 10 10 59 11 12 6 13 15 10 7 11 9 14 11 16 27 l-f 16 18 19 23 24 26 125 250 Muftiple 375 500 625 u M #2 02 02 02 12 #2 03 03 13 34 #3 03 14 25 45 #4 1 26 47 67 5 04 16 38 59 9 04 27 49 6 10 It) 11 05 38 6 9 10 06 39 7 12 17 4 6 10 18 6 12 29 7 14 19 25 27 l-f 13 11 17 13 12 11 13 15 15 12 16 18 17 16 22 20 19 23 24 26 11 12 e 0,040 0,040 I u ~ Re = ~ AcceptanceQualityLimit,tightenedinspection (in percentnonconforming and nonconformities per 100 items) 11 = use next precedingsamplesize code letterforwhichacceptanceand rejection numbers are available = use next subsequent sample size code letter for which acceptance and rejection numbers are available number z = Rejectionnumber = use singleaampfingplan above (or alternativelyuse code letterR) = acceptancenot permittedat thii samplesize # w 1 Table Parcenforlom tobe espscied asceksad (PJ 1O-P -- Tables for sample size code letter P (Individual plans) Chart P Operatingcharacteristiccurves for single sampling plans (Curves for double and multiple sampling are matched as closely as practicable) 0 Oualityof submitted product in percent nonconforming or in nonconformities per 100 items NOTE Values on curves are Acceptance QuaMy Limits (AQLs) for normal inspection. Table IO-P-1 -- Tabulated values for operating characteristic curves for single sampling plans Acceptance Qualify Limit, normal inepeation(in percent nonconforming and nmwcmformitiesper 100 items) Pa 89,0 S5,0 80,0 75,0 50,0 25,0 10,0 5,0 1,0 0,015 0,065 0,10 0,15 p 0,25 0,40 I 0,65 1,0 1,5 0,015 0,065 0,10 0,15 0,25 0,40 I 0,65 1,0 1,5 (in percent nonconforming) 0,224 0,327 0,3s4 0,526 0,706 0,926 1,16 1,31 1,63 0,40 0,364 o,4ee 0,563 0,745 0,956 1,21 1,47 1,64 1,99 0,440 0,568 0,660 0,855 1,06 1,35 1,62 1,60 2,16 0,596 0,773 0,879 1,06 1,33 1,62 1,92 2,11 2,50 0,765 o,e54 1,06 1,30 1,56 1,eo 2,21 2,42 2,83 0,936 1,16 1,29 1,53 1,63 2,17 2,51 2,72 3,16 1,30 1,56 1,71 1,99 2,33 2,71 3,08 3,32 3,79 1,56 1,67 2,04 2,34 2,71 3.11 3,51 3,76 4,26 0,00126 0,00641 0,0132 0,0360 0,0666 0,173 o,26e 0,374 0,576 0,0166 0,0444 0,0665 0,120 0,210 0,337 0,486 0,593 0,630 0,0645 0,102 0,136 0,216 0,334 0,4s0 0,665 0,767 1,05 p (in nonmnformities 0,223 0,327 0,394 0,527 0,709 0,926 1,16 1,31 1,64 0,363 0,496 0,582 0,745 0,959 1,21 1,47 1,64 2,00 per 100 items) 0,436 0,567 0,679 0,855 1,06 1,35 1,62 1,80 2,16 0,5s6 0,771 0,678 1,06 1,33 1,63 1,93 2,12 2,52 0,762 0,961 1,06 1,30 1,58 1,s0 2,22 2,43 2,65 0,935 1,16 1,29 1,53 1,63 2,17 2,52 2,74 3,16 1,29 1,56 1,71 1,99 2,33 2,72 3,09 334 3,62 1,57 1,66 2,03 2,34 2,71 3,12 3,52 3,76 4,29 0,00126 0,00641 0,0132 0,0360 0,0666 0,173 0,267 0,374 0,574 0,025 0,0186 0,0444 0,0665 0,120 0,210 0,336 0,465 0,592 0,627 0,10 0,0546 0,102 0,136 0,216 0,334 0,469 0,664 0,766 1,05 0,15 0,103 0,171 0,216 0,317 0,459 0,636 0,s33 0,866 1,25 0,25 0,103 0,171 0,216 0,31? 0,459 0,639 o,e35 o,e69 1,26 Acceptance Qualify Limit, tightened ins~ction (in percent nonconforming and nonconformities per 100 items) NOTE Binomial distribution uaad for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformities Table 1O-P-2 -- Sampling plans for sample size code letter P Type of CumuAcceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) r),r)lo Ac Re 0,015 Ac Re 0,025 Ac Re ~ Ac Re sampIing plan Iative sample size 0,040 Ac Re 0,065 Ac Re 12 0,10 Ac Re 23 0,15 Ac Re 34 0,25 Ac Re 56 0,40 Ac Re 76 >< Ac Re 89 0,65 Ac Re 10 ~ Ac Re Ac 1,0 Re ~ AC Re 1,5 AC Re >1,5 AC Re Single 800 u 01 11 *2 13 14 15 18 19 21 22 fl Double 500 1000 u * use code letter use code letter use code letter 02 12 03 34 13 45 25 67 36 9 47 59 6 13 15 10 7 11 9 14 11 24 26 16 27 fi 10 10 t.1 12 16 18 19 23 200 400 Wtiple 600 800 1000 u N R Q #2 02 02 02 12 #2 03 03 13 34 #3 03 14 25 45 #4 15 26 47 67 04 16 38 59 9 04 27 49 6 11 05 38 6 9 10 06 39 7 12 17 4 8 10 18 6 12 29 7 14 fl 13 11 17 13 19 25 27 12 11 13 15 15 12 16 18 17 16 22 20 19 23 24 26 10 10 11 12 <0,025 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 1,5 >1,5 Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items) t u Ac Re = use next precedingsamplesize code letterfor whichacceptanceand rejectionnumbersare available = use next subsequentsamplesize code letterfor whichacceptanceand rejectionnumbersare available = Acceptancenumber = Rejectionnumber = use singlesamplingplan above = acceptancenot permittedat thissamplesize -0 # -1 a Q 100 so 60 70 60 50 40 30 20 10 0 Table 1O-Q -- Tables for sample size code letter Q (Individual plans) Parantdfda Chart Q Operating characteristic curves for single sampling plans (Curves for double and multiple sampfing are matched as closafy as practicable) -fob z (PJ 6 NOTE Quefity of submitted product in percent nonconforming or in nonconformifies per 100 items Valueson curvesara Acceptance Quality Limits (AQLs) for normal inspection. Table 10G1 I -- Tabulated values for operating characteristic curves for single sampling plans Acceotanca QuafiN Limit, normal inar)action(in parcent nonconformingand nonconformitieaper 100 items) I 0,40 0,65 I 1,0 Pa 0,010 0,040 0,065 0,10 0,15 0,25 I 0.40 0,65 I 1,0 0,010 0,040 0,CO08 0,00410 0,00843 0,0230 0,0555 0,111 0,065 0,10 I 0,15 0,25 I , 99,0 95,0 80,0 P (in percent nonconforming) . . 0,0008 0,0041 0,00643 p (in nonconl 1,01 1,19 1.30 1,50 1,73 l,ee 2,25 mnities ger 1 0 items) 0,232 0,316 0,0119 0,0349 0,0659 0,143 0,233 0,281 0,383 0,489 0,600 0,830 0,0284 0,0654 0,0426 0,0119 0,0284 0,0425 0,0769 0,134 0,215 0,311 0,360 0,531 0.065 ~ 0,109 0,209 0,319 0,376 0,494 0,616 0,741 0,996 1!10 I ,27 1,49 1.74 0,0882".0,140 0,252 0,373 0!435 ot562 0,693 0,625 0,138 0,214 0,313 0,425 0°65410109 I0209 0,214 0,294 0,454 0,372 I 0,435 0,476 0,614 0,775 I I I 0,281 0,376 0,3s2 0,494 0.562 0,690 0,653 1,04 0,488 0,615 0.692 0,834 1,01 1,22 1,42 1,56 1,83 0,65 0,596 I 0,626 0,740 0,824 0,995 1,08 1,27 1,49 1,74 75,0 50,0 25,0 10,0 0,0230 0,0554 0,0769 0,134 0,215 0,311 0,203 0,284 0,408 0,534 0,33s 0,477 0,547 0,690 00834 0,980 1,01 1,22 1,42 0,547 0,694 0,864 1,04 + 0,979 1,17 1,39 1,61 1.75 2,04 0,453 0,613 0,693 0,853 0,593 0,741 1,17 1.39 , 0,111 , 0,774 0,840 0,863 1,04 1,04 1,23 0.184 1,61 I 1,98 0,184 0,240 0,368 0.015 + 0,504 0,620 0,841 o#e42 1,23 1,36 1,61 5,0 I 0,239 I 0,379 I 0,503 I 0,619 I 0,83911,05 1,0 0,366 0,530 I 1,15 I 1,35 I 1,55 I 1,75 I 2,13 I 2,41 1!39 1,61 1,82 2,03 2,43 2,73 1,05 I 1,15 I 1,98 2,25 0,671 0,10. O,aul 0,15 1,05 0,25 1,28 1,26 1,39 0,40 I 2,14 2,45 1,0 0,015 0,085 * ~ * + ~ I Accaptanca Quafity Limit, tightenad inspection (in percent nonconformingand nonwrrformities par 100 items) NOTE Binomial distribution used for entries correspcmfing to inspection for nonconforming items, Poisson for inspection for number of nonconfonnities. ! 1,01 1,19 1,30 1,49 1,73 2,00 2,42 2,75 I Table IO-Q-2 -- Sampling plans for sample size code letter Q Type of sempling plan CumuIative sample size Ac Re 0,010 Ac Re Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) 0,015 Ac Re Ac Ra 0,025 Ac Re 0,040 0,065 AC Re AC Re 0,10 AC Re 0,15 AC Re 0,25 AC Re AC Re 0,40 AC Re AC Re 0,65 AC f+e AC Re AC 1,0 Re >1,0 AC Re Single 1250 01 12 23 34 56 76 89 10 11 12 13 14 15 18 19 21 22 fi Double 800 1600 use code letter * use code letter use coda letter s use code letter R 02 12 03 34 13 45 25 67 36 9 47 59 6 10 7 11 9 14 11 16 fi 10 10 11 12 13 15 16 18 19 23 24 26 27 315 630 Wuftiple 945 1260 1575 R * P #2 02 02 02 12 #2 03 03 13 34 0,10 #3 03 14 25 45 0,15 #4 15 26 47 67 0,25 04 16 36 59 9 04 27 49 6 11 05 36 6 9 10 12 06 39 7 12 17 4 8 10 13 18 6 12 29 7 14 ff 11 17 13 19 11 15 12 17 16 22 20 25 10 10 11 12 13 15 16 16 19 23 24 26 27 0,40 0,65 1,0 >1,0 0,010 0,015 0,025 0,040 0,065 I lr Ac Re AcceptanceQualityLimit,tightenedinspection (in percent nonconforming and nonconformities per 100 items) = use next precedingsamplesize code letterfor whichacceptanceand rejectionnumbersare available = Acceptancenumber = Rejectionnumber = use single sampling plan above . acceptance not permitted at this sample size Q Y # w @ x Table Pueuddfots 1O-R-- Tables for samp{e size code letter R (Individual plans) Chart R Operatingcharacteristiccurvesfor single samplingplans (Curves for double and multiple sampling are matched es closely as practicable) ?55 ON us aL~ ~ur cog la ad soto.. N 0 0 0 ~rnh @'J 5 NOTE or in nonconformities par 100 items Values on curvee are AcceptanceQuaMy Limits (AQLs) for normal inspection. Quality of submitted pruduct in percent nonmnforming Table 1O-R-1 -- Tabulated valuas for operating characteristic curves for singla sampling plans Aooaptena Ouafii Limit, normal inspection (i percent nonconforrrungand nonconformities par 100 items) Pa 93,0 %,0 90,0 75,0 50,0 26,0 0,025 0,040 0,066 0,10 P I 0,15 0,145 0,1ss 0,233 ~ 0,25 ~ 0,40 ~ 0,66 0,025 0,040 0,065 0,10 I 0,15 ~ 0,25 ~ 0,40 ~ 0,65 wcant nonconformu1) 0,176 0,236 0,272 0,342 0,433 0,540 0,649 0,721 0.s6s 0,239 0,309 0.361 0,431 0,633 0.650 0,305 0,335 0,433 0,521 0,633 0.760 0,374 0,463 0.515 0,612 0,733 0,s69 1,bo 1,09 1,27 D,00743 0,0176 0,02SS 0,04S1 0,063s 0,136 0,1s4 0,237 0,331 # 0,0216 0,0403 0,0661 0,0S64 0,134 0,1s6 0,266 0,314 0,420 0,041: 0,06X O,osx 0,127 0.164 0,255 0.334 0,367 0,501 0,10 0,0s% 0,131 0,156 Q211 0,263 0,371 0,4s3 0,526 0,s54 0,15 0,296 0,3s3 0,4s4 0,5s6 It 0,516 0,623 0,664 0,630 0,746 0,S13 m (in nonconformities 0,00743 0,017S 0,0266 0,0216 0,0409 0,0551 0,0S64 0,134 0,196 + 0,266 0,315 0,420 0,0412 0,0662 0,0672 0,127 0,164 0,255 0,334 0,3S6 0,502 0,0693 0,131 0,156 0,211 0,264 0,371 0,464 0,526 0,655 0,15 0,145 0,199 0,233 o,2e6 0,363 0,484 0,569 0,657 0,175 0,235 0,272 0,342 0,433 0,540 0,650 0,722 per 100 items) 0,239 0,306 0,351 0,431 0,533 0,651 0,770 0,646 1,01 0,305 0,364 0,432 0,521 0,633 0,761 0,SS9 0,374 0,462 0,515 0,612 0,733 0,670 1,01 0,517 0,622 0,664 o,7e6 0,933 1,09 1,24 1,33 1,53 0,65 0,629 0,745 0,812 0,934 1,06 1,25 1,41 1,51 1,72 E 0,796 I 0,935 I 0,0461 0,933 1,09 1,24 II I I 1,06 0,0639 0,135 0,194 0,237 1,25 j 10,0 5,0 1,0 0,769 0,647 0,666 0,970 1,14 1,41 I 1,51 I 0,s56 0,79s F 1,33 I 0,040 0,066 0,25 % 0,40 x Atxs@snce QuaIii Limit, tightened ins-ion ~~ ein~ial (in percent nonconforming and nonconformifies par 100 items) 444 0,972 1,14 0,600 0,s70 0'25 ~ ~ 0,40 R 1,09 1,27 dstrfbutiofl used fOr erstrfescorraspomdingto inspection for nonconforming iteme, poisson for inspection for number of nonconformities Table 1O-R-2 -- Sampling pians for sample size code ietter R Type of sampIing plan Single Cumulative sample size 2000 Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items) 0,010 0,015 0,025 0,040 AC Re 0,065 AC 0,10 F@ 0,15 AC Re AC Re 0,25 AC Re AC Re 0,40 Ac Re ~c Re 0,65 Ac Re >0,65 Ac R~ Ac Re Ac Re Ac Re Ac Re Ac Re Fte AC 01 1 2 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 fl Double 1250 2500 * use code letter use code letter use code letter 02 1 2 03 34 1 45 3 25 67 36 9 47 5 9 6 10 7 11 9 14 11 16 fl 10 10 11 12 13 15 16 18 19 23 24 26 27 500 1000 Muftiple 1500 2000 2500 Q P s # 2 #2 03 03 13 #3 03 1 25 45 4 # 15 26 47 67 4 04 1 38 5 9 9 10 6 04 27 49 6 10 11 0 38 6 9 5 06 39 17 4 12 15 18 8 12 18 10 13 17 1 6 11 8 12 17 29 7 13 20 26 14 19 25 27 lr 02 02 02 1 2 10 12 13 7 11 15 16 22 24 34 11 12 19 23 0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 >0,65 I Ac Re AcceptanceQualityLimit,tightenedinspection (in percentnonconforming and nonconformities per 100 items) 1? = use next precedingsamplesize code letterfor whichacceptanceand rejectionnumbersare available = Acceptancenumber = Rejetilon number = use single sampling ptan above = acceptancenot permittedat thissamplesize # IS 2500( Paft 1 ): 2000 ISO 2859-1:1999 Table Psrcanroflora espcrad to be 10-S -- Tables for sample size code letter S (Individual Chart S Operating characteristic (Cuwes for double and multiple sampfing are matched as closely as practicable) plans) curves for singie sampiing pian -a 100 so 60 70 60 50 40 30 20 10 0 (PJ 0,02 0,04 0,06 0,0s 0,10 0,12 0,14 0,16 0,16 0,20 NOTE Quality of submitted product in percent nonconforming or in nonconformities per 100 items Value on curve are Acceptance Quality Limit (AQL) for tightened inspection. Table 10-S-1-- Tebulatacf valuesfor operating characteristiccurvefor singlesamplingplan Acceptance Quality Limt noms! inspection (in psrcant nonconformingand nonconforrnifiaaper 100 items) Table 10-S-2 -- Sampling plsns for sample aiza code letter S Type of sampling plan Pa 99,0 95,0 eo,o 75,0 50,0 25,0 10,0 5,0 1,0 p (in percent p nonconformima) 0,00472 0,0113 0,0169 0,0305 0,0533 0,0655 0,123 0,151 0,211 0,025 (in nonconfonnitiaapar 100 items) 0,00472 0,0113 0,0169 0,0305 0,0533 0,0655 0,123 0,151 0,211 0,025 6ingle 3150 I 1 2 Oouble .2 m 4000 I o 1 2 2 Muftipfe 1600 2400 32W I o 2 102 102 I Acceptance Qualii Limit, tightened inspecth (in percent nonconformingand noncenformifisaper 100 itame) Ac = Accepterw4 numbar Re = Rejection number # = acceptance not parmfi~ NOTE Sinordal Mrfbutii at ~S -e ei~e * end nonconformitieeper 100 items) used for entries ~ng to in- for nonconformingitems, Poissonfor inspection for numbar of nwwonfomdtias. s 80 Table 11-A -- Single sampling plans for normal inspection (Auxiliary master table) 3emple size SamplI D,oll 0,01 code eize -- -- letter 4cR AcR A B C5 D 8 13 20 32 w so 125 200 315 500 aoo 1250 2000 -- -- ),02 \c R 2 3 f E F G H J K L M N P Q R ,, - ,, - v )1 -- )1 1/3 w 12 !3 -- ,-. -I ,-. , I ( -. 1 Acceptance 0,1( quality limit, AQL, in percent nonconforming -- items and nonconformities 4,0 6,5 per 100 items(normalinspection) O,w 0,15 -- 0,4( 0,65 tc R \c Re Ac R ic R Ac RI Ac Re Ac Re Ac Re Ac Re Ac R, AcRe 4C R T 1,0 01 1/3 -- 2,5 1,5 10 15 25 4CRe 12 23 34 -- 56 78 40 4C R 2: 3, 5( -- 7( 10 1 65 LCR 100 Ac Re 56 78 10 11 14 15 21 22 150 4CRI 7f 10 1 14 1 !1 2 103 260 LC R 400 660 kcR !1 2 103 44 loot n Q !-.01 01 -- w v 112 01 1/3 112 -- 12 23 34 5e 78 10 1 -- 1/3 1/2 12 23 34 56 76 10 11 14 15 1/2 1 2 34 5( 7{ 01 41 12 03 44 4 4! 6 103' 14 4! A 01 1/3 01 41 !1 2 1/3 w 12 23 01 w 12 10 11 14 1 10 1 A . - A A . - )' 1/3 1/2 112 12 23 34 34 56 78 01 1/3 12 23 34 14 1 !1 2 )1 -- 1/3 112 12 -- 23 34 23 34 56 56 -- 70 - - .4 . DI 113 w 56 78 10 11 14 1! 21 22 01 113 1/2 10 1' 14 15 21 z W3 12 -- !3 56 -- 78 78 10 1" 14 1! 21 22 21 z m 12 23 34 34 5( 7e 10 11 14 1! v )1 1/3 m 1/3 1/2 2 12 23 34 14 i6 `6 -- 10 11 14 15 21 z 14 1! -- 4 1! ?1 22 -- 21 22 4 t -- 56 101 4 ~= Use the firstsamplingplan belowthe arrow.If samplesize equals,or exceeds,lotsize, carryout 100% inspection v -- -1 -- I -- . - , . . - , . . 6= usethe first samplingplan above the arrow. Ac = Acceptancenumber Re = Rejectionnumber Table 11-B -- Single sampling plans for tightened inspection (Auxiliary master table) Sempk size Cude Iener A B klrnpl tie -- -- 0,01 0,01! -- -- Ac R Ac RI Acceptance quality -- -- 0,040 0.06 0,1( -- 4CR -- 0,15 -- JCR -- limit, -- 2 3 5 -- kcRe + Ac R k Re c D E F G . .- 8 13 20 32 50 . .- H J K L M N so . / )1 In -- 1/2 1: / -- )1 1/3 112 -- 12 Z3 54 -- j6 -- 125 200 315 Soo SW 1250 2000 --. 3 1 -I I -- -- 0,25 AQL, in percentnonconforming itemsand nonconformities per 0,40 0,s6 1,0 -- k? R -- 1,5 -- 2,5 4,0 6,5 10 15 100 items (tightened -- inspection) 100 {C Re 34 56 S9 12 25 40 65 -- \c R -- 1s0 -- 4CR -- 5( 6$ 12 1 -- -- 400 -- \c R( -- 2 1: s 1! !7 21 -- 11 4 650 10LM AC Re AcRe \c Re Ac Re Ac Re Ac Re -- Ac Re Ac R 113 IL? 12 -- 23 34 56 -- S9 12 12 \c Re Ac RI 16 19 27 2/ !7 2s 41 4; II 42 v 1/3 -- 1/2 12 23 34 56 89 1: 2: 3, 5( 8! 12 1 2: 3, 5( -- B! 21 61 -- 01 !J 01 113 01 1/2 ! 011/31/2 12 1: 16 1 ?7 2 A / )1 m 112 12 23 34 G 1$ 01 -- 1/3 -- 1/2 112 12 23 A .. - A - ,, . .- 01 1/3 12 23 34 12 13 16 1 16 19 01 V3 -- 113 1/2 112 12 23 34 56 31 -- 12 -- 2: ?3 -- 34 j6 19 -- 34 56 e9 Ie IS . -. .-. .. - - .. 1/3 w 12 56 S9 12 13 16 1! 112 12 23 34 56 39 -- 12 23 -- 34 56 09 23 34 56 89 12 13 34 5[ -- 6$ 12 1< 18 1! F -- 89 12 13 16 19 . . 12 13 18 19 2 13 Ie 19 8 19 P Q R D1 -- -- 113 ! -- 14 -- 2 13 18 19 -- 1-- .! v J[ -. . . -. I [ -, -. . --- .-. .. . - .. .. / -- . ,, -- -- - .- 1 V= *= Uee the firstsampfirtg plan belowthe arrow. If sampleeize equals,or exceeds,lotsize, carryout 100% inspection. Usethefiret=wling plan above the arrow. Ac = Acceptancenumber Re = Rejectionnumber Table 11-C -- Single sampling Sampl size code Ietier -- A B c D E F G H J K L M N P Q R 2 2 2 . 3 5 8 13 60 32 -- 50 so 125 200 315 600 II v 01 115 . .- plans for reduced inspection (Auxiliary -- -- master table) -- -- Ac I 3 3 4 -- ;amp size Acceptanc Iuality limit, AQL, in percent nonconforming 0,2 LC R 4C R 0,4( -- \c R -- 0,65 Ac R( -- items and nonconformities 4,0 6,5 3,01 4CF 0,01' ),02 ic R ),04 \c R -1 3,06! O,lc -- 4C R 1,0 -- Ac RI -- 1,5 I 2,5 -- 10 Ac R 1/3 113 1/2 12 23 34 45 67 89 per 100 items (reduced inspection) 25 ACR 4( -- Ac I 2 2 3 4 6 8 10 1 15 4C F 112 112 1 2 3 4 Ac RI r Ac Rel Ac R@ Ac RC Ac F -- -! - . - . .- -- -. I r 01 -- -- 100 15( -- -- Ac R -- 5( 5( 6; -- 8! 10 1 Ac F -- 7 7 8 -- !0 14 A -, -- 25( -- 4CP 400 Ac R 14 1 14 1 14 1 65( -- Ac F -- 21 : ?1 : ?1 : -- A n T 01 115 113 1/2 12 23 3' 34 45 0 1/5 1/2 112 1 2 34 45 1: 1: 2: !3, 10 1 10 1 10 1 `4 1! !1 2 115 -- 6 6 10 01 1/3 / I 01 01 115 1/3 1/2 12 -- 23 34 45 -- 57 39 0 11 T -- 1/5 1/3 112 4: 6; 89 10 1" A I o' 1/5 -- )1 1/5 Its 1/2 !2 !3 14 -- 1/5 1/3 1/2 2 3 4 113 1/2 1: )1 1/5 113 -- 112 2 3 4 5 7 . 9 1/s 1/3 112 -- 12 ?3 34 $5 57 19 -- 0 11 -- 1/2 12 23 3445' $567 6789 391011 011 12 2 34 67 6$ . - . ti .- 10 11 v II 11 115 113 112 2 -- 2 !3 10 1 1 1/5 1/3 1/2 1/5 1/3 lt2 -- -- 115 SW 5 -- f -d --- . . I -- d -- [ 0 ~ ~ = Use the first sampling plan below the arrow. If sample size equals, or exceeds, lot size, carry out 100% inspection. = Use the first sampling plan above the arrow. 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I I I 1 I I I a gg~ooo IS 2500( Paft 1 ) :2000 ISO 2859-1:1999 Annex (informative) A Example for non-constant sampling plan Lot umber Lot size N Sample size coda latter G G G H H E J H F J G G J E G H F F E H H J J J H Sample size n Given Ac Acceptance score (before inspection) 5 10 5 7 7 0 7 5 5 12 15 5 12 0 5 12 15 18 18 25 7 14 7 14 5 Applicsble Ac Nonccmforming items d 0 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 Acceptebility Acceptance score (after inspection) 5 o o o o o o 5 5 12 O* 5 o o 5 12 15 18 18 o 7 o 7 0" 5 switching score Future action 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2i 22 23 24 25 180 200 250 450 300 80 800 300 100 600 200 250 600 80 200 500 100 120 85 300 500 700 600 550 400 32 32 32 50 50 13 80 50 20 80 32 32 80 13 32 50 20 20 13 50 50 80 80 80 20 R = not acceptable 1/2 1/2 1/2 1 1 0 1 112 0 1 113 112 2 0 1/2 1 1/3 1/3 0 1 1 2 2 2 112 0 1 0 1 1 0 1 0 0 1 1 0 2 0 0 1 1 1 0 1 1 2 2 2 0 A A R A A R A A A A A A A A A A A A A A A A A A A 2 4 0 2 4 0 -- -- -- -- -- 2 5 7 9 11 13 15 17 19 21 24 27 30 -- Continue normal Crmtinue normal Continue normal Continue normal Continue normal Switchlo tightenad Continue tightened Continue tightened Continue tightenad Continue tightened Restore normal Continue normal Continue normsl Con?inue normal Continue normal Continue normal Continue normal Continue normal Continue normal Continue normal Continue normal Continue normal Continue normal Switch to raduced Continue reduced NOTES: A = acceptable denotes the acceptance score after switching IS 2500( Part 1 ) :2000 ISO 2859-1:1999 Bibliography [1] ISO 2859-0:1995, Sarnp/ing procedures attribute sarnp/ing system. for inspection by attributes -- Part O: Introduction to the ISO 2859 [2] ISO 2859-2:1985, Samp/ing procedures for inspection limiting quality (LQ) for isolated lot inspection. [3] [4] by attributes -- Part 2: Sampling plans indexed by ISO 3951, Sampling procedures and charts for inspection by variables for percent nonconforming. ISO 8402, Quality management and qua/ity assurance -- Vocabu/aty. 87 (Continued from second cover) has also been made to the following (given below) : International !n this adopted standard, normative reference Standards for which there exist Indian Standards ISO Standard 1s0 3534-1:1993 ISO 3534-2:1993 Indian Standard IS 7920 (Part 1) :1994 IS 7920 (Part 2) :1994 Degree of Equivalence Not Equivalent do The technical committee responsible for the preparation of this standard has reviewed the provisions of the above referred Indian Standards, and has"decided that they are acceptable for use in conjunction with this adopted standard. Annex A of this standard is for information This Indian Standard IS 2500 (Part 2):1965 IS 2500 (Part 3):1995 ISO 2859-2:1985 only. (IS 2500) is in three parts. The other two parts are: Sampling defective inspection procedures : Part 2 Inspection by variables for percent Sampling inspection procedures : Part 3 Sampling quality (LQ) for isolated lot inspection plans indexed by limiting Bureau of Indian Standards BIS is a statutory institution established under the Bureau of Indian Standards Act, 1986 to promote harmonious development of the activities of standardization, marking and quality certification of goods and attending to connected matters in the country. Copyright BIS has the copyright of all its publications. No part of these publications may be reproduced in any form without the prior permission in writing of BIS. This does not preclude the free use, in the course of implementing the standard, of necessary details, such as symbols and sizes, type or grade designations. Enquiries relating to copyright be addressed to the Director (Publications), BIS. Review of Indian Standards Amendments are issued to standards as the need arises on the basis of comments. Standards are also reviewed periodically; a standard along with amendments is reaffirmed when such review indicates that no changes are needed; if the review indicates that changes are needed, it is taken up for revision. Users of Indian Standards should ascertain that they are in possession of the latest amendments or edition by referring to the latest issue of `BIS Catalogue' and `Standards: Monthly Additions'. This Indian Standard has been developed from Doc : No. MSD 3 (194). Amendments Issued Since Publication Amend No. Date of Issue Text Affected BUREAU OF INDIAN STANDARDS Headquarters : Manak Bhavan, 9 Bahadur Shah Zafar Marg, New Delhi 110002 Telephones :3230131,3233375,3239402 Regional Offices : Central Eastern Northern Southern Western Branches : Manak Bhavan, 9 Bahadur Shah Zafar Marg NEW DELHI 110002 : 1/14 C. I. T. Scheme VII M, V. I. P. Road, Kankurgachi CALCUTTA 700054 : SCO 335-336, Seetor 34-A, CHANDIGARH 160022 : C. I. T. Campus, IV Cross Road, CHENNAI 600113 : Manakalaya, E9 MIDC, Marol, Andheri (East) MUMBAI 400093 Telegrams : Manaksanstha (Common to all offices) Telephone 3237617 { 3233841 3378499,3378561 2(I { 3378626,33791 603843 { 602026 2350216,2350442 { 2351519,2352315 8329295,8327858 { 8327891,8327892 : AHMADABAD. BANGALORE. BHOPAL. BHUBANESHWAR. COIMBATORE. FARIDABAD. GHAZIABAD. GUWAHATI. HYDERABAD. JAIPUR. KANPUR. LUCKNOW. NAGPUR. PATNA. PUNE. RAJKOT. THIRUVANANTHAPURAM. Printedat : PrabhatOffsetPress,New Delhi-2 AMENDMENT NO. 1 DECEMBER 2006 TO IS 2500(PART 1) : 2000/ISO 2859-1 : 1999 SAMPLING PROCEDURE FOR INSPECTION BY ATTRIBUTES PART 1 SAMPLING SCHEMES INDEXED BY ACCEPTANCE QUALITY LIMIT (AQL) FOR LOT-BY-LOT INSPECTION ( Third Revision ) (Page 83, Table 11-C) -- In the column `Sample size' corresponding to the row for sample size code letter H, substitute the value '20' for `50'. The above Amendment has been brought out in view of Technical Corrigendum 1 to ISO 2859-1 1999 published by ISO in March 2001. (MSD 3) ReprographyUnit, BIS, NewDelhi.India